2024-08-08
・(
Papers) Revised version (numerous minor changes of wording, etc.):
Combinatorial Construction of the Absolute Galois Group of the Field of
Rational Numbers.
2024-04-02
・(
Past and Current Research) Posted an
announcement on the occasion of the
awarding of the
IUT Innovator Prize.
2024-03-31
・(
Papers) Revised version (
list of revisions):
Resolution of Nonsingularities, Point-theoreticity, and Metric-admissibility
for p-adic Hyperbolic Curves.
・(
Past and Current Research) Posted a revised version of a
report concerning a
certain series of preprints (slightly modified the discussion following
(EssGlIq).
2024-03-30
・(
Past and Current Research) Posted a revised version of a
report concerning a
certain series of preprints (added a supplementary explanation to the discussion
following (EssGlIq), as well as to the discussion following (MthCat3)).
2024-03-24
・(
Past and Current Research) Posted the
slides for my talk at a
workshop to be held at the
IUGC in April 2024.
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨" Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
・(
Past and Current Research) Posted a
report concerning a certain
series of preprints.
2024-01-21
・(
Papers) Revised version (numerous minor changes of wording, etc.):
Resolution of Nonsingularities, Point-theoreticity, and Metric-admissibility
for p-adic Hyperbolic Curves.
・(
Papers) Revised version (numerous minor changes of wording, etc., together
with substantial modifications to the statement and proof of Theorem A,
Theorem 4.4):
Combinatorial Construction of the Absolute Galois Group of the Field of
Rational Numbers.
・(
Papers) Updated comments concerning:
Correspondences on Hyperbolic Curves.
The Geometry of Frobenioids I: The General Theory.
Topics in Absolute Anabelian Geometry I.
Topics in Absolute Anabelian Geometry II.
On the Combinatorial Cuspidalization of Hyperbolic Curves.
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves I: Inertia Groups and Profinite Dehn Twists.
2023-10-20
・(
Past and Current Research) Posted the
abstract and
slides for my talk
at the
MFO-RIMS Tandem Workshop "Arithmetic Homotopic & Galois Theory"
held in September 2023.
・(
Papers) New paper:
Inter-universal Teichmuller Theory as an Anabelian Gateway to
Diophantine Geometry and Analytic Number Theory
(MFO-RIMS23 Oberwolfach Report).
2023-09-18
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2023-08-24
・(
Past and Current Research) Posted a
report concerning the current
situation surrounding inter-universal Teichmuller theory.
2023-06-18
・(
Papers) New paper:
Resolution of Nonsingularities, Point-theoreticity, and Metric-admissibility
for p-adic Hyperbolic Curves.
・(
Papers) Revised version (added supplementary explanations in a few places):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves III: Tripods and Tempered Fundamental Groups.
2023-02-18
・(
Past and Current Research) Posted the
abstract and
slides for my talk at
the
AHGT workshop "
Arithmetic & Homotopic Galois Theory 2023" scheduled
to be held in March 2023.
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2022-12-30
・(
Papers) Revised version (
list of revisions):
Combinatorial Construction of the Absolute Galois Group of the Field of
Rational Numbers.
2022-11-28
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2022-11-02
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2022-10-02
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2022-09-21
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2022-07-31
・(
Papers) Revised version (
list of revisions):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves IV: Discreteness and Sections.
2022-07-14
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2022-06-30
・(
Papers) Revised version (numerous minor changes of wording, etc.,
especially in the latter portion of §3):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves III: Tripods and Tempered Fundamental Groups.
2022-06-14
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2022-06-01
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2022-05-18
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
・(
Papers) Revised version (
list of revisions):
Explicit Estimates in Inter-universal Teichmuller Theory.
・(
Papers) Updated comments concerning:
The Geometry of Anabelioids.
2022-05-01
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2022-04-24
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2022-03-20
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
・(
Papers) Revised version (several minor changes of wording, etc.,
mainly in the initial portion of the Introduction):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization.
・(
Papers) Revised version (numerous minor changes of wording, etc.):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves III: Tripods and Tempered Fundamental Groups.
・(
Papers) Updated comments concerning:
A Theory of Ordinary p-adic Curves.
Foundations of p-adic Teichmuller Theory.
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
・(
Papers) Posted comments concerning:
Introduction to p-adic Teichmuller Theory.
2022-01-14
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2021-12-14
・(
Travel and Lectures) Posted various materials related to my series
of lectures on inter-universal Teichmuller theory at the RIMS
Workshop "Algebraic Number Theory and Related Topics".
2021-12-08
・(
Papers) Revised version (
list of revisions):
Explicit Estimates in Inter-universal Teichmuller Theory.
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2021-11-17
・(
Past and Current Research) Posted an
invitation letter to the
worldwide mathematical community to
view the videos from the
workshops on inter-universal Teichmuller theory held earlier this year.
2021-11-08
・(
Papers) Revised version (
list of revisions):
Group-theoreticity of numerical invariants and distinguished subgroups
of configuration space groups.
・(
Papers) Revised version (
list of revisions):
Explicit Estimates in Inter-universal Teichmuller Theory.
2021-09-12
・(
Travel and Lectures) Posted various materials related to the remaining
two workshops (concerning inter-universal Teichmuller theory) of the
2021 RIMS Project "Expanding Horizons of Inter-universal Teichmuller
Theory".
2021-08-30
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2021-07-12
・(
Travel and Lectures) Posted various materials related to the first two
workshops of the 2021 RIMS Project "Expanding Horizons of Inter-universal
Teichmuller Theory".
・(
Papers) Revised version (numerous minor changes of wording, etc.; the
numbers of theorems, etc., remain unchanged):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves IV: Discreteness and Sections.
2021-06-18
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
・(
Papers) Revised version (
list of revisions):
Explicit Estimates in Inter-universal Teichmuller Theory.
2021-06-04
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2021-05-27
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2021-04-25
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2021-04-18
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory..
2021-04-15
・(
Papers) Revised version (
list of revisions):
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2021-03-06
・(
Papers) New paper in commemoration of the publication of the four main
papers on inter-universal Teichmuller theory:
On the Essential Logical Structure of Inter-universal Teichmuller
Theory in Terms of Logical AND "∧"/Logical OR "∨"
Relations:
Report on the Occasion of the Publication of the Four Main Papers
on Inter-universal Teichmuller Theory.
2021-01-15
・(
Papers) Revised version (
list of revisions):
Combinatorial Construction of the Absolute Galois Group of the Field of
Rational Numbers.
2020-12-23
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2020-12-12
・(
Papers) New paper:
Combinatorial Construction of the Absolute Galois Group of the Field of
Rational Numbers.
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
・(
Past and Current Research) Posted a webpage concerning the
RIMS Research Project
"Expanding Horizons of Inter-universal
Teichmuller Theory" to be held in 2021.
2020-11-30
・(
Papers) New paper:
Explicit Estimates in Inter-universal Teichmuller Theory.
2020-10-31
・(
Travel and Lectures) Posted the
slides for the online lecture that
I am scheduled to give at the Berkeley Colloquium on November 6
(Friday, JST).
2020-08-04
・(
Papers) Revised version (numerous minor changes of wording, etc.,
mainly in Section 4; also added Corollary 4.18, Lemma 4.19 to the
end of Section 4; on the other hand, the numbers of theorems, etc.,
remain unchanged):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization.
2020-05-18
・(
Papers) Updated comments concerning:
Semi-graphs of Anabelioids.
A Combinatorial Version of the Grothendieck Conjecture.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2020-04-25
・(
Papers) Updated comments concerning:
The Geometry of Frobenioids I: The General Theory.
・(
Papers) Posted comments concerning:
Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from
the Point of View of Inter-universal Teichmuller Theory.
2020-04-22
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2020-04-18
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2020-04-12
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2020-04-04
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2020-03-22
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2020-03-10
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2020-02-05
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2020-01-24
・(
Past and Current Research) Posted the second
IUTeich animation
"Computation of the log-volume of the q-pilot via the multiradial
representation".
2019-12-30
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2019-12-21
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2019-12-10
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2019-11-30
・(
Papers) Revised version (numerous minor changes of wording, etc.;
the numbers of theorems, etc., remain unchanged):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization.
2019-11-15
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2019-11-08
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2019-11-04
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2019-10-31
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2019-07-20
・(
Papers) Updated comments concerning:
On the Combinatorial Cuspidalization of Hyperbolic Curves.
On the Combinatorial Anabelian Geometry of Nodally Nondegenerate
Outer Representations.
2019-06-28
・(
Papers) Updated comments concerning:
The Local Pro-p Anabelian Geometry of Curves.
A Combinatorial Version of the Grothendieck Conjecture.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2019-06-07
・(
Papers) Updated comments concerning:
Topics in Absolute Anabelian Geometry III.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2019-05-18
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2019-05-14
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2019-05-12
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2019-05-01
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2019-04-22
・(
Past and Current Research) Posted a webpage concerning the
RIMS Research Project
"Expanding Horizons of Inter-universal
Teichmuller Theory" to be held in 2020.
2019-04-03
・(
To Prospective Students and Visitors) Updated "To Prospective
Students and Visitors".
2019-03-22
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2019-03-18
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2019-03-10
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2019-02-10
・(
Papers) Updated comments concerning:
The Geometry of Frobenioids I: The General Theory.
The Geometry of Frobenioids II: Poly-Frobenioids.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
2019-02-01
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Past and Current Research) Updated the
webpage containing a
report and related documents on discussions conducted at RIMS
in March 2018 concerning IUTeich.
2019-01-19
・(
Papers) Updated comments concerning:
Topics in Absolute Anabelian Geometry III.
2019-01-15
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2018-12-28
・(
Past and Current Research) Updated the
webpage containing a
report and related documents on discussions conducted at RIMS
in March 2018 concerning IUTeich.
2018-11-26
・(
Past and Current Research) Updated the
webpage containing a
report and related documents on discussions conducted at RIMS
in March 2018 concerning IUTeich.
2018-11-08
・(
Past and Current Research) Updated the
webpage containing a
report and related documents on discussions conducted at RIMS
in March 2018 concerning IUTeich.
・(
Past and Current Research) Posted the
slides for lectures on
explicit estimates in IUTeich by Arata Minamide.
2018-10-06
・(
Past and Current Research) Updated the
webpage containing a
report and related documents on discussions conducted at RIMS
in March 2018 concerning IUTeich.
2018-09-28
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2018-09-21
・(
Past and Current Research) Posted a
report (and
related documents)
on discussions conducted at RIMS in March 2018 concerning IUTeich.
・(
Past and Current Research) Posted
"FAQ on IUTeich" by Go Yamashita.
2018-06-28
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2018-04-03
・(
To Prospective Students and Visitors) Updated "To Prospective
Students and Visitors".
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
・(
Papers) Updated comments concerning:
Foundations of p-adic Teichmuller Theory.
2018-02-22
・(
Past and Current Research) Posted the
slides for lectures on IUTeich
by Fucheng Tan.
・(
Past and Current Research) Posted the a
link to the video of a lecture on
IUTeich (in Japanese; see also
English subtitle version) by Fumiharu Kato.
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2017-12-30
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Updated comments concerning:
Topics in Absolute Anabelian Geometry I.
・(
Papers) Posted comments concerning:
The Local Pro-p Anabelian Geometry of Curves.
2017-12-14
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Updated comments concerning:
Topics in Absolute Anabelian Geometry III.
・(
Papers) Updated comments concerning:
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves I: Inertia Groups and Profinite Dehn Twists.
2017-11-01
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2017-08-25
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2017-08-18
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Papers) Posted comments concerning:
The Geometry of the Compactification of the Hurwitz Scheme.
2017-07-20
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
2017-07-12
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Updated comments concerning:
Topics in Absolute Anabelian Geometry III.
2017-06-30
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2017-05-20
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2017-04-24
・Uploaded
``Cherry Blossoms around RIMS 2017''.
2017-04-08
・(
Papers) Revised version (
list of revisions):
Group-theoreticity of numerical invariants and distinguished subgroups
of configuration space groups.
2017-04-01
・(
Past and Current Research) Posted the
slides for introductory lectures
on c
ombinatorial anabelian geometry given by Arata Minamide.
・(
Papers) New paper:
Group-theoreticity of numerical invariants and distinguished subgroups
configuration space groups.
2017-03-04
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2017-01-28
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2016-12-27
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2016-12-16
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2016-11-12
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2016-10-24
・(
Papers) Revised version (
list of revisions):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization.
・(
Papers) Revised version (
list of revisions):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves III: Tripods and Tempered Fundamental Groups.
・(
Papers) Revised version (
list of revisions):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves IV: Discreteness and Sections.
2016-10-01
・(
Past and Current Research) Posted a link to Ivan Fesenko's
introductory
article on IUTeich.
・(
Past and Current Research) Posted the PDF files (=
1 2 3 4) of pictures
taken during lectures on
numerical invariants of configuration space groups
given by Arata Minamide.
・(
Papers) Updated comments concerning:
Semi-graphs of Anabelioids.
On the Combinatorial Anabelian Geometry of Nodally Nondegenerate
Outer Representations.
Topics in Absolute Anabelian Geometry I.
2016-09-04
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2016-08-18
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2016-08-08
・(
Top Page) Added a message concerning the use of the contents of the
present site and linked sites.
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2016-08-01
・(
Past and Current Research) Updated the item concerning a
workshop on
IUTeich held in July of this year at RIMS and added a link to a shared
folder
of
pictures.
・(
Papers) Revised version (
list of revisions):
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2016-07-16
・(
Papers) Updated/posted comments concerning:
Correspondences on Hyperbolic Curves.
Noncritical Belyi Maps.
Arithmetic Elliptic Curves in General Position.
2016-07-12
・(
Papers) Updated comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
Topics in Absolute Anabelian Geometry III.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2016-07-02
・(
Papers) New paper:
The Mathematics of Mutually Alien Copies: from Gaussian Integrals to
Inter-universal Teichmuller Theory.
2016-06-21
・(
Papers) Updated/posted comments concerning:
The Absolute Anabelian Geometry of Hyperbolic Curves.
A Combinatorial Version of the Grothendieck Conjecture.
Topics in Absolute Anabelian Geometry I.
Topics in Absolute Anabelian Geometry II.
Topics in Absolute Anabelian Geometry III.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2016-05-26
・(
Past and Current Research) Posted the PDF files (=
1 2 3 4 5 6) of pictures
taken during introductory lectures on multiple zeta values (except for the
final Section 4) given by Go Yamashita.
2016-04-30
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
・(
Papers) Posted comments concerning:
Topics in Absolute Anabelian Geometry III.
2016-04-14
・Uploaded
``Cherry Blossoms around RIMS 2016''.
・(
To Prospective Students and Visitors) Updated "To Prospective
Students and Visitors".
・(
Past and Current Research) Posted the PDF files (=
1 2 3 4) of pictures
taken during introductory lectures on
combinatorial anabelian geometry
(cont'd) given by Arata Minamide.
2016-02-25
・(
Past and Current Research) Added a link to the webpage of a
workshop on
IUTeich to be held in July of this year at RIMS.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Past and Current Research) Posted the PDF files (=
1 2 3 4) of pictures
taken during introductory lectures on
combinatorial anabelian geometry
given by Arata Minamide.
2016-01-12
・(
Papers) Revised version (
list of revisions):
Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from
the Point of View of Inter-universal Teichmuller Theory.
・(
Papers) Updated comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2015-12-24
・(
Papers) Updated comments concerning:
Semi-graphs of Anabelioids.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2015-12-18
・(
Papers) Updated comments concerning:
Semi-graphs of Anabelioids.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2015-12-15
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2015-12-06
・(
Papers) Updated/posted comments concerning:
The Absolute Anabelian Geometry of Hyperbolic Curves.
Semi-graphs of Anabelioids.
The Geometry of Frobenioids I: The General Theory.
The Geometry of Frobenioids II: Poly-Frobenioids.
Arithmetic Elliptic Curves in General Position.
Conformal and Quasiconformal Categorical Representation of
Hyperbolic Riemann Surfaces.
・(
Past and Current Research) Added a link to a
survey and
slides by
Yuichiro Hoshi concerning IUTeich.
・(
Past and Current Research) Added a link to
slides by Go Yamashita
concerning IUTeich.
・(
Past and Current Research) Revised previous
responses to questions
concerning the theory of Frobenioids (
list of revisions).
2015-11-11
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
・(
Papers) Revised version (
list of revisions):
Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from
the Point of View of Inter-universal Teichmuller Theory.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Updated the comments concerning:
A Panoramic Overview of Inter-universal Teichmuller Theory.
2015-10-29
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
2015-10-25
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2015-10-16
・(
Past and Current Research) Posted
responses to questions concerning the
theory of
Frobenioids.
2015-10-12
・(
Papers) Updated the comments concerning:
The Geometry of Frobenioids I: The General Theory.
The Geometry of Frobenioids II: Poly-Frobenioids.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
2015-10-04
・(
Past and Current Research) Posted new (
"stone incription") versions of
an animation video concerning IUTeich (whose content corresponds to
[IUTchIII], Theorem A).
2015-09-29
・(
Papers) Revised version (
list of revisions):
Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from
the Point of View of Inter-universal Teichmuller Theory.
・(
Past and Current Research) Posted an
animation video concerning IUTeich
(whose content corresponds to [IUTchIII], Theorem A).
2015-09-14
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2015-09-08
・(
Past and Current Research) Slighly modified the (text surrounding the
first display of item (7.) of) the
document concerning the morphological
aspects of the terms "anabelioid" and "Frobenioid".
2015-09-01
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Past and Current Research) Posted a
document concerning the morphological
aspects of the terms "anabelioid" and "Frobenioid".
2015-08-08
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
・(
Papers) Updated the comments concerning:
On the Combinatorial Anabelian Geometry of Nodally Nondegenerate
Outer Representations.
・(
Papers) Updated the comments concerning:
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves I: Inertia Groups and Profinite Dehn Twists.
2015-07-18
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
・(
To Prospective Students and Visitors) Updated (the portions concerning
Wakabayashi and Wada of the page) "To Prospective Students and Visitors".
2015-07-10
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
2015-05-16
・(
Papers) Revised version (
list of revisions):
Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from
the Point of View of Inter-universal Teichmuller Theory.
2015-05-10
・(
Papers) Revised version (
list of revisions):
Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from
the Point of View of Inter-universal Teichmuller Theory.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2015-05-05
・(
Papers) Revised version (
list of revisions):
Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from
the Point of View of Inter-universal Teichmuller Theory.
2015-04-26
・(
Past and Current Research) Added a link to the webpage of a
workshop on
IUTeich to be held in December of this year at Oxford University (UK).
・(
Past and Current Research) Updated the
lecture notes on IUTeich (rela-
tive to the previous 2015-04 version, slightly modified pp. 7 (top),
17 (bottom)).
・(
Papers) Updated the comments concerning:
A Panoramic Overview of Inter-universal Teichmuller Theory.
・(
Papers) Posted a list of expositions on the relationship to IUTeich:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2015-04-24
・(
Past and Current Research) Updated the
lecture notes on IUTeich (rela-
tive to the previous 2015-04 version, slightly modified pp. 17 (middle),
19 (bottom)).
2015-04-22
・(
Papers) Revised version (
list of revisions):
Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from
the Point of View of Inter-universal Teichmuller Theory.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Updated the comments concerning:
The Algebraic and Anabelian Geometry of Configuration Spaces.
・(
Papers) Updated the comments concerning:
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves I: Inertia Groups and Profinite Dehn Twists.
2015-04-10
・Uploaded `
``Cherry Blossoms around RIMS 2015''.
・(
To Prospective Students and Visitors) Updated "To Prospective
Students and Visitors".
・(
Past and Current Research) Posted pictures (= group picture +
pictures of Yamashita's lectures) taken at the workshop in March.
・(
Papers) New paper:
Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from
the Point of View of Inter-universal Teichmuller Theory.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2015-03-28
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2015-02-21
・(
Past and Current Research) Added a link to the
slides of Hoshi's talk
in the workshop to be held in March.
2015-02-19
・(
Past and Current Research) Added a link to Ivan Fesenko's
survey of
IUTeich.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Papers) Revised version (
list of revisions):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves IV: Discreteness and Sections.
・(
Papers) Updated the comments concerning:
On the Combinatorial Cuspidalization of Hyperbolic Curves.
・(
Papers) Updated the comments concerning:
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves I: Inertia Groups and Profinite Dehn Twists.
・(
Travel and Lectures) Posted the lecture notes for a lecture that
I gave today in the RIMS Number Theory Seminar.
2015-02-01
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
・(
Papers) Updated the comments concerning:
The Algebraic and Anabelian Geometry of Configuration Spaces.
・(
Past and Current Research) Updated the
lecture notes on IUTeich (rela-
tive to the previous 2014-12 version, slightly modified pp. 13).
2014-12-30
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
2014-12-25
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
・(
Past and Current Research) Posted a
report concerning activities
devoted to the verification of IUTeich.
2014-12-22
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Posted comments concerning:
A Panoramic Overview of Inter-universal Teichmuller Theory.
・(
Papers) Updated the comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
・(
Past and Current Research) Updated the
lecture notes on IUTeich (rela-
tive to the previous 2014-11 version, slightly modified pp. 4, 5, 11, 12,
16).
・(
Past and Current Research) Updated the
announcement for a workshop
to be held at RIMS during the period March 09〜20, 2015 on IUTeich
(in Japanese). We plan to publish the proceedings (in English) in
the
RIMS Kokyuroku Bessatsu series.
2014-11-24
・(
Papers) Revised version (
list of revisions):
Monomorphisms in Categories of Log Schemes.
2014-11-21
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
・(
Past and Current Research) Updated the
announcement for a workshop
to be held at RIMS during the period March 09〜20, 2015 on
IUTeich
(in Japanese). We plan to publish the proceedings (in English) in
the
RIMS Kokyuroku Bessatsu series.
2014-11-16
・(
Papers) Revised version (
list of revisions):
Monomorphisms in Categories of Log Schemes.
・(
Past and Current Research) Updated the
lecture notes on IUTeich (rela-
tive to the previous 2014-11 version, slightly modified the upper half
of p. 2).
2014-11-12
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Past and Current Research) Updated the
lecture notes on IUTeich (rela-
tive to the previous 2014-10 version, slightly modified the upper half
of the following pages: pp. 2, 4).
2014-10-30
・(
Papers) Revised version (
list of revisions):
Monomorphisms in Categories of Log Schemes.
・(
Papers) Updated the comments concerning:
Categorical representation of locally noetherian log schemes.
・(
Papers) Updated the comments concerning:
Categories of log schemes with archimedean structures.
・(
Past and Current Research) Updated the
lecture notes on IUTeich (rela-
tive to the previous 2014-10 version, slightly modified the upper half
of the following pages: pp. 1, 2, 4).
・(
Past and Current Research) Posted the
announcement for a workshop
to be held at RIMS during the period March 09〜20, 2015 on
IUTeich
(in Japanese). We plan to publish the proceedings (in English) in
the
RIMS Kokyuroku Bessatsu series.
2014-10-04
・(
Past and Current Research) Updated the
lecture notes on IUTeich (rela-
tive to the 2014-09 version, slightly modified pp. 4, 13, 14, 17, 18).
2014-09-20
・(
Papers) Updated the comments concerning:
Categorical representation of locally noetherian log schemes.
2014-09-15
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Past and Current Research) Posted latest version of
lecture notes
on IUTeich (i.e., without any definite plans to give a lecture;
relative to the 2014-05 lecture version, slightly modified p. 4,
p. 9, p. 10, p. 12, p. 13, p. 17).
2014-09-05
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2014-08-29
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
2014-08-24
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Added the LaTeX version:
Categories of log schemes with archimedean structures.
・(
Papers) Updated the comments concerning:
Categorical representation of locally noetherian log schemes.
・(
Papers) Updated the comments concerning:
Categories of log schemes with archimedean structures.
2014-08-16
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2014-08-09
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
・(
Papers) Posted comments concerning:
Topics in Absolute Anabelian Geometry II.
・(
Papers) Posted comments concerning:
Galois Sections in Absolute Anabelian Geometry.
2014-07-31
・(
Papers) Revised version (
list of revisions):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves IV: Discreteness and Sections.
2014-07-28
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Updated the comments concerning:
Arithmetic Elliptic Curves in General Position.
2014-07-18
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
2014-07-15
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2014-07-03
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
・(
Past and Current Research) Posted a link to an announcement concerning
a lecture series
"Inter-universal Teichmuller Theory and its Diophantine
Consequences" (in Japanese) by Go Yamashita.
2014-06-30
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
2014-06-28
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2014-06-26
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2014-06-14
・(
Papers) Revised version (
list of revisions):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization.
2014-05-27
・(
Travel and Lectures) I made slight modifications to the lecture
notes for the lecture that I gave at Kumamoto University on May 24,
2014 (
list of revisions).
2014-05-07
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2014-04-28
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Papers) New paper:
Monomorphisms in Categories of Log Schemes.
・(
Papers) Posted comments concerning:
Categorical representation of locally noetherian log schemes.
・(
Papers) Posted comments concerning:
Categories of log schemes with archimedean structures.
2014-04-15
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
2014-04-12
・Uploaded
``Cherry Blossoms around RIMS 2014''.
・(
To Prospective Students and Visitors) Updated "To Prospective
Students and Visitors".
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
2014-03-22
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2014-03-18
・(
Travel and Lectures) I made slight modifications to (p. 16, 19 of) the
lecture notes for the lecture to be given at Kumamoto University on May
24, 2014.
2014-03-15
・(
Travel and Lectures) Posted the lecture notes for a lecture to be
given at Kumamoto University on May 24, 2014. These lecture notes
are (except for the title) identical to the lecture notes for the lecture
given on February 20, 2014.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2014-02-20
・(
Travel and Lectures) Posted the lecture notes for a lecture that
I gave today in the RIMS Number Theory Seminar.
・(
Past and Current Research) Slightly modified the phrasing (in line 4
of item (7)) of the
report released on 2013-12-18 concerning
activities devoted to the verification of IUTeich.
・(
Papers) Posted comments concerning:
The Algebraic and Anabelian Geometry of Configuration Spaces.
・(
Papers) Updated the comments concerning:
Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
2013-12-28
・(
Papers) Revised version (
list of revisions):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves IV: Discreteness and Sections.
2013-12-18
・(
Papers) Updated the comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Past and Current Research) Posted a
report concerning activities
devoted to the verification of IUTeich.
2013-11-22
・(
Papers) Updated the comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2013-11-21
・(
Papers) Updated the comments concerning:
The Geometry of Frobenioids I: The General Theory.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
2013-10-28
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2013-10-24
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2013-10-08
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry II.
2013-09-28
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry II.
・(
Papers) New paper:
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves IV: Discreteness and Sections.
2013-09-22
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Revised version (
list of revisions):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization.
・(
Papers) Updated the comments concerning:
Arithmetic Elliptic Curves in General Position.
2013-08-20
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Papers) Revised version (
list of revisions):
A Panoramic Overview of Inter-universal Teichmuller Theory.
・(
Papers) Updated the comments concerning:
Arithmetic Elliptic Curves in General Position.
2013-07-31
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
2013-07-17
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
・(
Papers) Updated the comments concerning:
The Geometry of Frobenioids I: The General Theory.
・(
Papers) Updated the comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2013-06-28
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
・(
Papers) Updated the comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2013-06-08
・(
Papers) Revised version (
list of revisions):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2013-05-24
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
・(
Papers) Updated the comments concerning:
Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves.
・(
Papers) Posted comments concerning:
The Absolute Anabelian Geometry of Hyperbolic Curves.
2013-05-12
・(
Papers) Updated the comments concerning:
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves I: Inertia Groups and Profinite Dehn Twists.
2013-05-02
・(
Travel and Lectures) Posted the lecture notes for a lecture to be
given at the University of Tokyo on June 13, 2013. These lecture
notes are based on the survey
A Panoramic Overview of Inter-universal Teichmuller Theory.
that I released a few months ago.
・(
Past and Current Research) Posted
"FAQ on 'Inter-Universality' "
by Go Yamashita.
2013-04-24
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2013-04-12
・Uploaded
``Cherry Blossoms around RIMS 2013''.
・(
Papers) Updated the comments concerning:
A Combinatorial Version of the Grothendieck Conjecture.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry II.
・(
To Prospective Students and Visitors) Updated "To Prospective
Students and Visitors".
2013-03-26
・(
Papers) Revised version (
list of revisions):
A Panoramic Overview of Inter-universal Teichmuller Theory.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2013-03-01
・(
Papers) Revised version (
list of revisions):
A Panoramic Overview of Inter-universal Teichmuller Theory.
2013-02-21
・(
Papers) Revised version (
list of revisions):
A Panoramic Overview of Inter-universal Teichmuller Theory.
2013-02-20
・(
Papers) New paper (
survey of IUTeich):
A Panoramic Overview of Inter-universal Teichmuller Theory.
・(
Papers) Revised versions (slightly modified the discussion of [Lch] and
updated the references):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization.
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves III: Tripods and Tempered Fundamental Groups.
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2013-02-04
・(
Papers) Updated the comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
・(
Paper) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
2013-01-14
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2012-12-26
・(
Papers) Revised version (
list of revisions):
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
2012-12-20
・(
Papers) Updated/posted comments concerning:
The Geometry of Frobenioids I: The General Theory.
The Geometry of Frobenioids II: Poly-Frobenioids.
The Geometry of Anabelioids.
Semi-graphs of Anabelioids.
The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves
over Number Fields.
2012-12-16
・(
Papers) Revised versions (
list of revisions):
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2012-12-02
・(
Papers) Updated the comments concerning:
The Geometry of Frobenioids I: The General Theory.
2012-11-28
・(
Travel and Lectures) Updated the
lecture notes for a lecture to be
given at a
workshop scheduled for December 2012.
2012-11-21
・(
Travel and Lectures) Updated the
lecture notes for a lecture to be
given at a
workshop scheduled for December 2012.
・(
Papers) Updated the comments concerning:
The Geometry of Frobenioids I: The General Theory.
2012-11-14
・(
Papers) Updated the comments concerning:
The Geometry of Frobenioids I: The General Theory.
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
2012-11-10
・(
Travel and Lectures) Posted the
lecture notes for a lecture to be
given at a
workshop scheduled for December 2012. I am scheduled to
write a
survey of IUTeich based on these lecture notes by the end
of March 2013.
2012-11-07
・(
Papers) New papers:
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization.
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves III: Tripods and Tempered Fundamental Groups.
2012-10-25
・(
Papers) Posted comments concerning:
On the Combinatorial Anabelian Geometry of Nodally Nondegenerate
Outer Representations.
2012-10-20
・(
Papers) Posted comments concerning:
A Combinatorial Version of the Grothendieck Conjecture.
2012-10-18
・(
Papers) Revised version (
list of revisions):
Topics in Absolute Anabelian Geometry III.
・(
Papers) Updated the comments concerning:
Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves.
・(
Papers) Posted comments concerning:
A Survey of the Hodge-Arakelov Theory of Elliptic Curves I.
A Survey of the Hodge-Arakelov Theory of Elliptic Curves II.
2012-10-14
・(
Papers) Posted
comments concerning Theorem 1.10 of the following
paper:
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2012-10-08
・(
Papers) Updated the comments concerning:
Arithmetic Elliptic Curves in General Position.
2012-10-06
・(
Papers) Posted comments concerning:
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves I: Inertia Groups and Profinite Dehn Twists.
2012-10-02
・(
Papers) Updated the comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2012-08-30
・(
Papers) Revised version (the revisions are minor and unrelated to
the substantive content of the paper):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves I: Inertia Groups and Profinite Dehn Twists.
・(
Papers) New papers:
Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic
Evaluation.
Inter-universal Teichmuller Theory III: Canonical Splittings of
the Log-theta-lattice.
Inter-universal Teichmuller Theory IV: Log-volume Computations
and Set-theoretic Foundations.
2012-06-18
・(
Papers) Posted comments concerning:
The Absolute Anabelian Geometry of Canonical Curves.
2012-04-14
・Uploaded
``Cherry Blossoms around RIMS 2012''.
2012-04-12
・(
Papers) Revised version (made slight modifications to Theorem
1.8, (i); Corollary 1.11, (i); the Bibliography)
Topics in Absolute Anabelian Geometry II.
2012-04-06
・(
Papers) Revised version (the revisions are minor and unrelated to
the mathematical content of the paper):
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves I: Inertia Groups and Profinite Dehn Twists.
2012-04-05
・(
Top page) Replaced the photograph on the top page by a photograph
taken a few days ago.
2012-04-02
・(
To Prospective Students and Visitors) Updated "To Prospective
Students and Visitors".
2012-03-14
・(
Papers) Revised version (
list of main revisions):
Topics in Absolute Anabelian Geometry I.
2012-02-12
・(
Papers) Revised versions (
list of main revisions):
Topics in Absolute Anabelian Geometry I.
Topics in Absolute Anabelian Geometry II.
Topics in Absolute Anabelian Geometry III.
2012-01-23
・(
Thoughts) Posted a report concerning my progress in writing up
my ideas on IUTeich theory.
2011-12-22
・(
Papers) Revised version (in which we corrected a misprint in
Lemma 1.5):
On the Combinatorial Anabelian Geometry of Nodally Nondegenerate
Outer Representations.
2011-11-25
・(
Papers) Updated the comments concerning:
The Geometry of Frobenioids I: The General Theory.
2011-11-08
・(
Papers) Upon receiving notification that in certain computing
environments the PDF files in the present site are unreadable, I
decided to replace most of the PDF files in the present site by
``font embedded versions''.
・(
Safety Confirmation Information) I added a ``Safety Confirmation
Information'' button to the present page in the hope that it might
be of use in emergency situations such as natural disasters.
2011-09-08
・(
Papers) Updated the comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2011-07-15
・(
Papers) Posted comments concerning:
A Theory of Ordinary p-adic Curves.
・(
Papers) Posted comments concerning:
Arithmetic Elliptic Curves in General Position.
2011-06-20
・(
Thoughts) Posted a report concerning my progress in writing up
my ideas on IUTeich theory.
2011-05-02
・(
Thoughts) I realized that the valuation-theoretic problem left
pending in my
comments of 2011-03-03 may be resolved quite easily.
In particular, one may derive the main theorem obtained in Pop-Stix'
work on the p-adic Section Conjecture as a consequence of an entirely
elementary argument in graph theory and commutative algebra (i.e.,
without resorting to the use of difficult arithmetic results such
as Tamagawa's ``resolution of nonsingularities''). Click
here for
more details.
2011-04-12
・Uploaded
``Cherry Blossoms around RIMS 2011''.
2011-04-01
・(
Papers) New paper:
Topics Surrounding the Combinatorial Anabelian Geometry of
Hyperbolic Curves I: Inertia Groups and Profinite Dehn Twists.
・(
Papers) Posted comments concerning:
On the Combinatorial Cuspidalization of Hyperbolic Curves.
2011-03-03
・(
Thoughts) As I explained in a previous
note, one may apply the work
of Pop-Stix on the p-adic Section Conjection to reduce the Profinite
p-adic Section Conjecture to its tempered counterpart (a remark
due to Y. Andre). On the other hand, I recently noticed that this
reduction may also be obtained as a consequence of an entirely
elementary graph-theoretic argument (i.e., without resorting to
the use of difficult arithmetic results such as Tamagawa's
``resolution of nonsingularities''). Click
here for more details.
2010-11-23
・(
Papers) Updated the comments concerning:
Semi-graphs of Anabelioids.
2010-11-18
・(
Thoughts) Posted a report concerning my progress in writing up
my ideas on IUTeich theory.
2010-11-15
・(
Thoughts) Again I made slight modifications to my comments the
other day concerning the the theorem of Pop-Stix and updated the
various links for these comments to the
latest version.
・(
Papers) Updated the comments concerning:
Semi-graphs of Anabelioids.
2010-11-11
・(
Thoughts) I made slight modifications to my comments the other
day concerning the the theorem of Pop-Stix. Click
here for more
details.
・(
Papers) Revised version (in which we made slight modifications to
the discussion of the relationship to the work of Takao):
On the Combinatorial Anabelian Geometry of Nodally Nondegenerate
Outer Representations.
2010-11-02
・(
Thoughts) I realized, with regard to the relationship between the
``combinatorial section conjecture'' and the work of Pop-Stix on
the p-adic Section Conjection, that a similar argument holds over
more general fields and for more general sets of primes Σ. This
lead me to modify the argument I gave on 2010-10-29. Click
here
for more details.
2010-10-29
・(
Thoughts) I recently realized that the work of Pop-Stix on the
p-adic Section Conjecture is related to the ``combinatorial
section conjecture'' that I proved in my paper
``Semi-graphs of
anabelioids'' a few years ago. Click
here for more details.
2010-10-27
・(
Papers) Revised version (in which I replaced statements
concerning the ``genus'' by statements concerning the ``type'' in
Definition 1.9; Corollaries 1.10, 1.11):
Topics in Absolute Anabelian Geometry II.
2010-10-13
・(
Travel and Lectures) Posted the lecture notes for a lecture to be
given at a
workshop scheduled for October 2010.
・(
To Prospective Students and Visitors) Updated "To Prospective
Students and Visitors".
2010-07-16
・(
Past and Current Research) Posted the
abstract of a lecture to be
given at a
workshop scheduled for October 2010.
2010-06-18
・(
Papers) Revised version (in which I made slight modifications to
Propositions 5.7, (ii); 5.8, (vi)):
Topics in Absolute Anabelian Geometry III.
2010-06-11
・(
Papers) Revised version (in which I made a slight modification to
Definition 5.4, (v)):
Topics in Absolute Anabelian Geometry III.
2010-06-01
・(
Papers) Revised version (in which I modified Corollary 2.8, (i),
and Remark 2.12.1):
Topics in Absolute Anabelian Geometry I.
2010-05-06
・(
Papers) Revised version (
list of main revisions):
Topics in Absolute Anabelian Geometry I.
2010-04-12
・(
Thoughts) Posted a report concerning my progress in writing up
my ideas on IUTeich theory.
・Uploaded
``Cherry Blossoms around RIMS 2010''.
2009-10-15
・(
Thoughts) Posted a report concerning my progress in writing up
my ideas on IUTeich theory.
・(
To Prospective Students and Visitors) Updated "To Prospective
Students and Visitors".
2009-10-01
・(
Papers) Revised version (in which we modified Lemma 1.6, Remark
1.6.1):
On the Combinatorial Anabelian Geometry of Nodally Nondegenerate
Outer Representations.
2009-09-13
・(
Papers) Revised version (in which we modified Theorem 6.1, Corollary 6.3):
On the Combinatorial Anabelian Geometry of Nodally Nondegenerate
Outer Representations.
2009-09-03
・(
Papers) Updated the comments concerning:
Semi-graphs of Anabelioids.
・(
Papers) Revised version (in which I made a slight modification
to Remark 2.11.1):
Topics in Absolute Anabelian Geometry II.
2009-08-19
・(
Papers) New paper:
On the Combinatorial Anabelian Geometry of Nodally Nondegenerate
Outer Representations.
2009-07-06
・(
Papers) Revised version (in which I made a slight modification
concerning the term ``edge-paired'' in the case in which the
prime under consideration is equal to 2):
Topics in Absolute Anabelian Geometry II.
2009-06-16
・(
Papers) Updated the comments concerning:
Semi-graphs of Anabelioids.
2009-05-14
・(
Papers) Posted comments concerning:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2009-04-21
・(
Papers) Revised version (in which I added Remark 2.11.1):
Topics in Absolute Anabelian Geometry II.
2009-04-12
・Uploaded
``Cherry Blossoms around RIMS 2009''.
2009-04-05
・(
Papers) Revised version (in which I revised the definition of a log-shell):
Topics in Absolute Anabelian Geometry III.
2009-02-25
・(
Papers) Revised version:
On the Combinatorial Cuspidalization of Hyperbolic Curves.
・(
Papers) Posted comments related to the content of the following
paper:
The Algebraic and Anabelian Geometry of Configuration Spaces.
2009-02-17
・(
Papers) Revised version:
Arithmetic Elliptic Curves in General Position.
2009-02-11
・(
Thoughts) Posted a report concerning my progress in writing up
my ideas on IUTeich theory.
2009-01-22
・(
Papers) Revised version:
On the Combinatorial Cuspidalization of Hyperbolic Curves.
2008-12-12
・(
Papers) Updated the list of papers and posted revised version:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2008-11-17
・(
Papers) Revised version:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2008-09-05
・(
Papers) Posted comments concerning:
The Geometry of Frobenioids I: The General Theory.
2008-08-18
・(
Papers) Revised version:
Topics in Absolute Anabelian Geometry II.
2008-08-03
・(
Papers) Revised version:
Topics in Absolute Anabelian Geometry III.
2008-07-21
・(
Past and Current Research)
''So what is IUTeich theory about?''
an explanation via ``Sokkuri animation'' that was pointed out to
me by Fumiharu Kato.
2008-06-17
・(
Papers) Revised version:
Arithmetic Elliptic Curves in General Position.
2008-06-11
・(
Papers) New paper:
On the Combinatorial Cuspidalization of Hyperbolic Curves.
・(
Papers) Revised version:
The Geometry of Frobenioids I: The General Theory.
・(
Papers) Revised version:
The Geometry of Frobenioids II: Poly-Frobenioids.
・(
Thoughts) Added a report on recent research concerning
combinatorial cuspidalization and absolute pro-p anabelian
geometry.
2008-05-18
・(
Travel and Lectures) Posted the lecture notes for my lectures for
students and colloquium talk on ``Arithmetic Teichmuller Theory''
(in Japanese)
・(
Papers) Updated the picture in the paper as well as the comments
concerning:
Semi-graphs of Anabelioids.
2008-04-14
・(
Papers) Revised versions:
Topics in Absolute Anabelian Geometry I, II, III.
2008-04-09
・Uploaded
``Cherry Blossoms around RIMS 2008''.
・(
Thoughts) Added a report on research concerning a combinatorial
version of an injectivity theorem of Matsumoto.
・(
Papers) Posted comments concerning:
Foundations of p-adic Teichmuller Theory.
・(
Papers) Posted comments concerning:
Semi-graphs of Anabelioids.
2008-03-25
・(
Papers) New series of papers:
Topics in Absolute Anabelian Geometry I, II, III.
・(
Papers) New paper:
Arithmetic Elliptic Curves in General Position.
・(
Past and Current Research) Updated the report on my research up
till now.
2008-02-01
・(
Papers) Posted comments concerning:
Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves.
2008-01-05
・(
Papers) Revised version:
The Geometry of Frobenioids I: The General Theory.
・(
Papers) Revised version:
The Geometry of Frobenioids II: Poly-Frobenioids.
2007-07-27
・(
Papers) Revised version:
The Algebraic and Anabelian Geometry of Configuration Spaces.
2007-06-06
・(
Papers) Revised version:
Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves.
2007-05-16
・(
Papers) Revised version:
The Geometry of Frobenioids I: The General Theory.
・(
Papers) Revised version:
The Geometry of Frobenioids II: Poly-Frobenioids.
・(
Papers) Revised version:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2007-04-12
・Uploaded
``Cherry Blossoms around RIMS 2007''.
2007-04-06
・(
Papers) Revised version:
A Combinatorial Version of the Grothendieck Conjecture.
2007-01-31
・(
Papers) Revised version:
Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves.
・(
Papers) Revised version:
A Combinatorial Version of the Grothendieck Conjecture.
2007-01-20
・(
Papers) Revised version:
Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves.
2006-12-23
・(
Papers) Revised version:
Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves.
・(
Papers) Revised version:
The Geometry of Frobenioids I: The General Theory.
・(
Papers) Revised version:
The Geometry of Frobenioids II: Poly-Frobenioids.
・(
Papers) Revised version:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2006-11-27
・(
Papers) Revised version:
The Algebraic and Anabelian Geometry of Configuration Spaces.
2006-11-18
・(
Travel and Lectures) Posted the lecture notes for my lecture at
the workshop on ``p-adic Arithmetic Geometry'' to be held next week.
2006-10-31
・(
Thoughts) Erratum concerning ``symmetrized configuration
spaces''.
2006-09-16
・(
Past and Current Research) Updated the report on my recent
research related to the ABC Conjecture.
2006-09-06
・(
Papers) New paper:
The Algebraic and Anabelian Geometry of Configuration Spaces.
2006-09-01
・(
Papers) Revised version:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2006-08-25
・(
Thoughts) More on recent work in anabelian geometry.
・(
Papers) Revised version:
Conformal and Quasiconformal Categorical Representation of
Hyperbolic Riemann Surfaces.
2006-07-14
・(
Papers) Revised version:
Global Solvably Closed Anabelian Geometry.
2006-06-24
・(
Thoughts) Added a report on recent work in anabelian geometry.
2006-06-13
・(
Papers) Revised version:
The Geometry of Frobenioids I: The General Theory.
2006-06-03
・(
Papers) Revised version:
Global Solvably Closed Anabelian Geometry.
2006-06-02
・(
To Prospective Students and Visitors) Updated "To Prospective
Students and Visitors".
2006-05-22
・(
Curriculum Vitae) Added an mp3 file that contains the
pronunciation of my name.
2006-05-21
・(
Papers) Revised version:
Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves.
2006-04-22
・(
Papers) New paper:
The Etale Theta Function and its Frobenioid-theoretic Manifestations.
2006-04-11
・(
Papers) Revised version:
A Combinatorial Version of the Grothendieck Conjecture.
・(
Papers) Revised version:
The Geometry of Frobenioids I: The General Theory.
・(
Papers) Revised version:
The Geometry of Frobenioids II: Poly-Frobenioids.
2006-04-06
・(
Papers) Revised version:
Conformal and Quasiconformal Categorical Representation of
Hyperbolic Riemann Surfaces.