I study

Especially, I am mainly interested in:

A proof of abc conjecture after Mochizuki.

In preparation.

On finite multiple zeta values of non-positive weight.

preprint.

A simple proof of convolution identities of Bernoulli numbers.

preprint.

A small remark on the filtered $\phi$-module of Fermat varieties and Stickelberger's theorem.

preprint.

A small remark on finite multiple zeta values and $p$-adic multiple zeta values.

to appear in RIMS Kôkyûroku Bessatsu.

Reduction of two dimensional crystalline representations and Hypergeometric polynomials.

(with Seidai Yasuda) In preparation.

$p$-adic Hodge theory for open varieties.

Comptes Rendus Math., volume 349 (2011), issues 21-22, 1127--1130.

$p$-adic multiple zeta values, $p$-adic multiple $L$-values, and motivic Galois groups.

"Galois-Teichmüller Theory and Arithmetic Geometry", Adv. Studies in Pure Math. 63 (2012), 629--658.

$p$-adic Lefschetz (1,1) theorem in semistable case, and Picard number jumping locus.

Math. Res. Let. 18 (2011), no. 01, 107--124.

On some applications of integral $p$-adic Hodge theory to Galois representations.

(with Seidai Yasuda) J. Number Theory 147 (2015), 721--748.

Bounds for the dimensions of the $p$-adic multiple $L$-value spaces.

Documenta Math. Extra Volume: Andrei A. Suslin's Sixtieth Birthday (2010) 687--723.

$p$-adic etale cohomology and crystalline cohomology for open varieties with semistable reduction.

(with Seidai Yasuda) preprint.

Inter-universal Teichmuller theory and its Diophantine consequences. (35 hours in total)

(The 3rd week of the series lectures at Kyushu Univ. is merged into this week at RIMS workshop.)

(16-20/Mar/2015 at RIMS, On the verification and further development of inter-universal Teichmuller theory)

Inter-universal Teichmuller theory and its Diophantine consequences. (33.5 hours in total)

(The 2nd week of the series lectures at Kyushu Univ. is merged into this week at RIMS workshop.)

(9-13/Mar/2015 at RIMS, On the verification and further development of inter-universal Teichmuller theory)

Inter-universal Teichmuller theory and its Diophantine consequences--1st week. (18 hours in total)

(16-19/Sep/2014 at Kyushu University, series lectures)

p-adic multiple zeta values and motivic Galois groups. (60 minutes)

(25/Jul/2013 at RIMS, Various aspects of multiple zeta values)

On abc Conjecture. (30 minutes)

(non-public talk under the security. I refuse all of inqueries on this talk.)

(6/May/2013 at Toyota Physical and Chemical Research Institute, Colloquium)

Reductions of two dimensional crystalline representations and Hypergeometric polynomials. (60 minutes)

(26/Mar/2013 at Keio University, Number Theory Forum)

$p$-adic multiple zeta values and motivic Galois groups. (60 minutes)

(11/Feb/2013 at Kushu University, Kyushu Algebraic Number Theory 2013)

Etale Cohomology and Weil Conjecture, Part II. (15 hours in total)

(12-16/Nov/2012 at Keio University)

Reductions of two dimensional crystalline representations and Hypergeometric polynomials. (60 minutes)

(12/Sep/2012 at KIAS, Number theory seminar)

Reductions des representations cristallines en dimension deux et Polynomes Hypergeometriques. (60 minutes)

(5/Mar/2012 at Institut de Mathematiques de Jussieu, seminaire de theorie des nombres)

Reduction of two dimensional crystalline representations and Hypergeometric polynomials. (60 minutes)

(2/Mar/2012 at University of Nottingham, Number theory seminar)

Reduction of two dimensional crystalline representations and Hypergeometric polynomials. (60 minutes)

(22/Feb/2012 at Imperial College of London, Number theory seminar)

Wiles' proof of Fermat's Last Theorem for beginners. (50 minutes)

(15/Feb/2012 at Kagoshima University, 7th Kagoshima Algebra-Analysis-Geometry Seminar)

Kagoshima2012small.pdf

Etale Cohomology and Weil Conjecture. (15 hours in total)

(1-5/Nov/2011 at Keio University)

Crystalline cohomology, Universal extension, and $p$-adic Hodge comparison for the $p$-divisible groups. (8 hours in total)

(14-15/Jul/2011 at Hokkaido Univerisity, arithmetic geometry seminar)

$p$-adic multiple zeta values valued in B_{crys}. (90 minutes)

(23/Jun/2011 at Okayama Univerisity, Algebra seminar)

Categories for the working arithmetic geometer. (60 minutes)

(1/Jun/2011 at RIMS, Adventures of Categories -Applied Category Theory Colloquium-)

Automorphy Lifting and integral $p$-adic Hodge theory. (60 minutes)

(25/May/2011 at Keio University, Algebra Seminar)

Automorphy Lifting and integral $p$-adic Hodge theory. (60 minutes)

(22/Apr/2011 at Kyushu University, Algebra Seminar)

local-global compatibility after Barnet-Lamb, Gee, Geraghty, and Taylor. (120 minutes)

(20/Apr/2011 at Kyushu University, arithmetic geometry seminar)

Le relevement d'automorphie et la theorie de Hodge $p$-adique integrale. (60 minutes)

(18/Mar/2011 at Universite de Bordeaux, seminaire de theorie des nombres)

Theorie de Hodge $p$-adique pour les varietes ouvertes. (60 minutes)

(7/Mar/2011 at Institut de Mathematiques de Jussieu, seminaire de theorie des nombres)

Le relevement d'automorphie et la theorie de Hodge $p$-adique integrale. (90 minutes)

(3/Mar/2011 at Institut de Mathematiques de Jussieu, seminaire automorphe)

Pure Mathematics and Applied Mathematics--from a personal point of view--. (50 minutes)

(16/Feb/2011 at Kagoshima University, 6-th Kagoshima Algebra-Analysis-Geometry Seminar)

Gross-Zagier formula. (18 hours in total)

(4-6/Jan/2011 at Hokkaido University, arithmetic geometry seminar)

On the jumping locus of the Picard number. (60 minutes)

(17/Dec/2010 at University of Tokyo, International workshop on motives in Tokyo, part6)

$p$-adic Hodge theory for open varieties. (60 minutes)

(26/Nov/2010 at Osaka University, number theory seminar)

global-local compatibility after Carayol. (120 minutes)

(26/Nov/2010 at Osaka University, number theory preseminar)

$p$-adic multiple zeta values and motivic Galois group. (60 minutes)

(23/Oct/2010 at International Institute for Advances Studies, Galois-theoric Arithmetic Geometry)

Introduction to irreducible admissible representations of GL2 of local fields. (250 minutes)

(3/Aug/2010 at Osaka University, Workshop on arithmetics around GSp(4))

Introduction to $p$-adic Hodge theory. (90 minutes)

(13/Jul/2010 at Nagoya University, Arithmetic Geometry seminar)

Motivic Galois groups and $p$-adic multiple zeta values. (60 minutes)

(9/Feb/2010 at Durham University, Arithmetic Study Group)

Motivic Galois groups and $p$-adic multiple zeta values. (60 minutes)

(17/Dec/2009 at University of Tokyo, International workshop on motives part 5)

$p$-adic Hodge theory for open varieties. (60 minutes)

(13/May/2009 at Cambridge University, algebraic geometry seminar)

$p$-adic multiple zeta values and motivic Galois groups of mixed Tate motives. (60 minutes)

(12/May/2009 at Cambridge University, number theory seminar)

$B_\mathrm{crys}$ lift of $p$-adic Beilinson conjecture. (90 minutes)

(22/Apr/2009 at University of Nottingham, number theory seminar)

Integral $p$-adic Hodge theory and automorphy lifting for unitary groups. (90 minutes)

(14/Jan/2009 at University of Nottingham, number theory seminar)

Bounds for the dimensions of the $p$-adic multiple zeta value space. (60 minutes)

(8/Oct/2008 at Imperial College, number theory seminar)

Kisin's modified Taylor-Wiles system. (60 minutes)

(3/Oct/2008 at University of Nottingham, number theory seminar)

Bounds for the dimensions of the $p$-adic multiple zeta value ($L$-value) space. (90 minutes)

(4/June/2008 at University of Nottingham, number theory seminar)

$p$-adic Hodge theory for open varieties. (60 minutes)

(17/Apr/2008 at University of Nottingham, the Nottingham-Poznan Number theory day)

Proof of Serre's conjecture of level one case after Khare. (90 minutes)

(20/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

First step of the induction of the proof of Serre's conjecture after Tate, Serre, and Schoof. (90 minutes)

(20/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

Taylor-Wiles system for unitary groups after Clozel-Harris-Taylor I. (90 minutes)

(19/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

Modularity lifting of residually reducible case after Skinner-Wiles. (90 minutes)

(19/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

Modularity lifting for crystalline deformations of intermediate weights after Kisin. (90 minutes)

(18/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

Modularity lifting for potentially Barsotti-Tate deformations after Kisin I. (90 minutes)

(18/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

-> Proceding of "Recent Progressions on R=T --Sato-Tate conjecture and Serre's conjecture--"

RT2_yamashita.pdf RT22_errata.pdf (in Japanese)

Galois representations associated to Hilbert modular forms via congruence after Taylor, and Global-local compatibility after Carayol. (90 minutes)

(17/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

Review of Taylor-Wiles system. (90 minutes)

(17/Mar/2008 at Yatsugatake, Workshop on Recent Progresions on R=T)

-> Proceding of "Recent Progressions on R=T --Sato-Tate conjecture and Serre's conjecture--"

RT1_yamashita.pdf RT22_errata.pdf (in Japanese)

$p$-adic multiple zeta value and motivic Galois group. (60 minutes)

(30/Aug/2007 at Queen's University, Departmental Seminar)

Bounds for the dimensions of the $p$-adic multiple zeta value ($L$-value) spaces. (60 minutes)

(25/Jul/2007 at RIMS, Colloquium)

An introduction to Kimura-O'Sullivan's finite dimensionality of pure motives-2. (60 minutes)

(6/Jul/2007 at University of Tokyo, Workshop on Motives III)

An introduction to Kimura-O'Sullivan's finite dimensionality of pure motives-1. (60 minutes)

(3/Jul/2007 at University of Tokyo, Workshop on Motives III)

An introduction to $p$-adic Hodge theory. (8 hours in total)

(14-15/Jun/2007 at Hokkaido University, arithmetic geometry seminar)

Bounds for the dimensions of the $p$-adic multiple zeta value ($L$-value) spaces. (60 minutes)

(4/Jun/2007 at Tambara, p-adic aspects in arithmetic geometry)

Bounds for the dimensions of the $p$-adic multiple zeta value ($L$-value) spaces. (60 minutes)

(5/Mar/2007 at Hiroshima University, Motives, related topics, applications)

$p$-adic Hodge theory/$p$-adic multiple zeta values. (Poster)

(14/Feb/2007 at Seoul National University, the 4-th RIMS-SNU Joint Symposium)

$p$-adic Hodge theory for open varieties. (60 minutes)

(21/Nov/2006 at RIMS, $p$-adic Arithmetic Geometry)

$p$-adic Hodge theory for open varieties. (60 minutes)

(11/Oct/2006 at RIMS, Colloquium)

Reduced Power Operations 2. (60 minutes)

(28/Sep/2006 at University of Tokyo, Workshop on Motives II)

Reduced Power Operations 1. (60 minutes)

(27/Sep/2006 at University of Tokyo, Workshop on Motives II)

Review and Overview. (60 minutes)

(25/Sep/2006 at University of Tokyo, Workshop on Motives II)

$p$-adic Hodge theory for open varieties. (60 minutes)

(6/Aug/2006 at University of Tokyo, 51-th Algebra Symposium)

->Proceeding of "51-th Algebra Symposium", p.111-p.131

algsymp2006.dvi algsymp2006.pdf algsymp2006.ps (in Japanese)

Bounds for the dimensions of the $p$-adic multiple zeta value ($L$-value) spaces. (55 minutes)

(4/Jul/2006 at Limoges, le congres Iwasawa 2006)

Bounds for the dimensions of the $p$-adic multiple zeta value (and multiple $L$-value) spaces. (60 minutes)

(26/Apr/2006 at IHES, seminaire de mathematique)

$p$-adic Hodge theory for open varieties (without Faltings' almost etale theory). (60 minutes)

(7/Apr/2006 at Universite Paris 13, seminaire de geometrie arithmetique)

Upper bounds for dimensions of the space of $p$-adic multiple zeta values (and multiple $L$-values). (60 minutes)

(27/Mar/2006 at Institut de Mathematiques de Jussieu, seminaire de theorie des nombres)

$p$-adic Hodge theory for open varieties (without Faltings' almost etale theory). (60 minutes)

(1/Feb/2006 at IHES, seminaire de mathematique)

the category of mixed Tate motives over the ring of integers. (60 minutes)

(21/Dec/2005 at University of Tokyo, Workshop on Motives I)

Introduction to Voevodsky's category of mixed motives 1. (60 minutes)

(19/Dec/2005 at University of Tokyo, Workshop on Motives I)

Bounds for the dimensions of the $p$-adic multiple $L$-value spaces. (60 minutes)

(25/Nov/2005 at University of Tokyo, Tokyo Seoul Conference Arithmetic and Algebraic Geometry)

Bounds for the dimensions of the $p$-adic multiple $L$-value spaces. (30 minutes)

(23/Aug/2005 at Hakui, Number Theory Summer Seminar 2005)

hamahatasan.dvi hamahatasan.pdf hamahatasan.ps

Bounds for the dimensions of the $p$-adic multiple $L$-value spaces. (60 minutes)

(18/May/2005 at Okayama University, Okayama Workshop on Arithmetic and Geometry

Bounds for the dimensions of the $p$-adic multiple $L$-value spaces. (50 minutes)

(6/Dec/2004 at RIMS, Algebraic Number Theory and Related Topics)

-> RIMS kokyu-roku (2005) No.1451, p.37-41.

morishitasan.dvi morishitasan.pdf morishitasan.ps

$p$-adic multiple zeta values, $p$-adic multiple $L$-values, and dimension conjectures. (120 minutes)

(11/Nov/2004 at RIMS, Study of Multiple Zeta Values)

-> RIMS kokyu-roku (2007) No.1549, p.153-168.

ohnosan.dvi ohnosan.pdf ohnosan.ps (in Japanese)

Bounds for the dimensions of the $p$-adic multiple $L$-value spaces. (60 minutes)

(23/Jul/2004 at Hiroshima University, 3-rd Number Theory Symposium)

$p$-adic Hodge theory for open varieties. (60 minutes)

(6/Mar/2004 at Okayama University, 9-th Conference for Young Researchers)

okayama.dvi okayama.ps okayama.pdf (in Japanese)

$p$-adic Hodge theory for open varieties. (15 minutes)

(18/Aug/2003 at Sendai, Number Theory Summer Seminar 2003)

yoinojikan.dvi yoinojikan.ps yoinojikan.pdf (in Japanese)

$p$-adic etale cohomology and crystalline cohomology for open varieties. (60 minutes)

(9/Apr/2003 at Nagoya University, $p$-adic Methods in Number Theory)

$p$-adic etale cohomology and crystalline cohomology for open varieties. (45 minutes)

(14/Mar/2003 at Waseda University, Algebraic Number Theory Symposium)

->Proceeding of "Waseda Algebraic Number Theory Symposium"

waseda.dvi wadeda.ps waseda.pdf

$p$-adic etale cohomology and crystalline cohomology for open varieties. (60 minutes)

(5/Dec/2002 at RIMS, Algebraic Number Theory and Related Topics)

-> RIMS kyokyu-roku (2003) No.1324 p.130-141.

kyoto.dvi kyoto.ps kyoto.pdf

$p$-adic etale cohomology and crystalline cohomology for open varieties. (60 minutes)

(8/Oct/2002 at Hokkaido University, Hodge Theory and Algebraic Geometry)

hokudai.dvi hokudai.ps hokudai.pdf

Introduction to $(\phi,\Gamma)$-modules. (60 minutes)

(6/Dec/2001 at Nagoya University, $p$-adic Representations and $p$-adic Differential Equations)

phigamma.dvi phigamma.ps phigamma.pdf (in Japanese)

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