Japanese Page

Top     Papers     Talks     Curriculum Vitae

Schedule

• Title of the Talk,
  Title of the Workshop,
  Place of the Workshop,
  Date of the Workshop.

• On Galois Sections of Hyperbolic Polycurves over Arithmetic Fields I, II,
  Inter-universal Teichmüller Theory Summit 2025,
  Kyoto,
  March 17-19, 2025.

• TBA,
  Workshop Arithmetic France-Japan 2025,
  Tokyo,
  April 14-18, 2025.

• TBA,
  Recent Advances in Anabelian Geometry and Related Topics,
  International Centre for Mathematical Sciences,
  April 28-May 2, 2025.

Talks

(Some) Research Talks

• Anabelian aspects of the Hodge-Tate-ness of Galois representations,
  Paris Arithmetic Homotopy Galois Theory Day 2024,
  Université de Paris 6,
  Septermber 23-24, 2024.

• On the Geometricity of Adelic Galois Sections of Hyperbolic Curves,
  Waseda number theory seminar,
  Tokyo,
  July 19, 2024.

• On the Galois Orbit Version of Inter-universal Teichmüller Theory: a Progress Report I,
  On the Galois Orbit Version of Inter-universal Teichmüller Theory: a Progress Report II,
  The first IUGC conference,
  Tokyo,
  April 2-5, 2024.

• On the Geometricity of Adelic Galois Sections of Hyperbolic Curves I,
  On the Geometricity of Adelic Galois Sections of Hyperbolic Curves II,
  Anabelian Geometry in Tokyo,
  Tokyo,
  March 11-12, 2024.

• Mono-anabelian Reconstruction of Solvably Closed Galois Extensions of Number Fields,
  The 19th Kagoshima Algebra-Analysis-Geometry Seminar,
  Kagoshima,
  February 13-16, 2024.

• On the geometricity of adelic Galois sections of hyperbolic curves,
  Séminaire de théorie des nombres de l'IMJ-PRG,
  Université de Paris 6,
  October 9, 2023.

• Existence of two-dimensional Hodge-Tate representations that are not intrinsically Hodge-Tate,
  Hokudai number theory seminar,
  Hokkaido,
  July 18, 2023.

• Tripod-degrees,
  The AHGT Seminar,
  Kyoto,
  June 5, 2023.

• Combinatorial anabelian geometry in the absence of group-theoretic cuspidality (Talk Slides),
  Partial combinatorial cuspidalization for F-admissible outomorphisms (Talk Slides),
  Synchronization of tripods I (Talk Slides),
  Synchronization of tripods II (Talk Slides),
  Glueability of combinatorial cuspidalizations I (Talk Slides),
  Glueability of combinatorial cuspidalizations II (Talk Slides),
  The 29th Number Theory Summer School “Combinatorial Anabelian Geometry”,
  online,
  2022.9.5-2022.9.9.

• Ramification of torsion points on a curve with stable reduction over an absolutely unramified base,
  Colloquium Talk at Tokyo Institute of Technology,
  Tokyo,
  July 13, 2022.

• On the Galois Orbit Version of Inter-universal Teichmüller Theory I: a Progress Report,
  On the Galois Orbit Version of Inter-universal Teichmüller Theory II: a Progress Report,
  Inter-universal Teichmüller Theory Summit 2021,
  Kyoto,
  September 7-10, 2021.

• A Combinatorial Anabelian Result for Stable Log Curves over Log Points (Talk Slides),
  Combinatorial Anabelian Geometry in the Absence of Group-theoretic Cuspidality (Talk Slides),
  Synchronization of Tripods and Glueability of Combinatorial Cuspidalizations (Talk Slides),
  Applications to the Theory of Tempered Fundamental Groups (Talk Slides),
  Combinatorial Anabelian Geometry and Related Topics,
  Kyoto,
  July 6-9, 2021.

• The Absolute Anabelian Geometry of Quasi-tripods (Talk Slides),
  Foundations and Perspectives of Anabelian Geometry,
  Kyoto,
  June 28-July 2, 2021.

• The Absolute Anabelian Geometry of Quasi-tripods (Report),
  Homotopic and Geometric Galois Theory,
  The Mathematisches Forschungsinstitut Oberwolfach, online,
  March 7-13, 2021.

• Existence of a cyclic covering of small degree and of nonzero Hasse-Witt invariant over an algebraic curve in positive characteristic,
  Algebra Seminar at Hiroshima University,
  Hiroshima,
  November 29, 2019.

• An Anabelian Open Basis for a Smooth Variety,
  Fundamental groups: Geometry and Arithmetic,
  University of Science and Technology of China,
  August 18-22, 2019.

• An introduction to nilpotent ordinary indigenous bundles via modular curves,
  Nilpotent indigenous bundles in characteristic three,
  Witt Vectors, Deformations, and Absolute Geometry,
  University of Vermont,
  July 16-21, 2018.

• A pro-p group-theoretic criterion for good reduction of ordinary proper hyperbolic curves,
  The 7th East Asia Number Theory Conference,
  National Taiwan University,
  February 5-9, 2018.

• On torsion points on a curve with good reduction over an absolutely unramified base,
  Oberseminar Algebra und Geometrie,
  Institut für Mathematik in Johann Wolfgang Goethe-Universität Frankfurt am Main,
  November 16, 2017.

• A simple purely group-theoretic characterization of the Grothendieck-Teichmüller group,
  Nilpotent Fundamental Groups,
  The Banff International Research Station for Mathematical Innovation and Discovery,
  June 18-23, 2017.

• A pro-p group-theoretic criterion for good reduction of ordinary proper hyperbolic curves,
  2017 East Asian Core Doctorial Forum on Mathematics,
  Seoul National University,
  January 6-10, 2017.

• Classical p-adic Teichmüller theory in characteristic three (Talk Slides),
  AMS Summer Institute in Algebraic Geometry,
  University of Utah,
  July 27-31, 2015.

• Mono-anabelian Reconstruction of Number Fields (Talk Slides),
  On the verification and further development of inter-universal Teichmüller theory,
  Kyoto,
  March 9-20, 2015.

• Mono-anabelian Reconstruction of Number Fields (Talk Slides),
  Colloquium at Kyoto University,
  Kyoto,
  July 9, 2014.

• Survey on the Combinatorial Anabelian Geometry,
  Differential Topology Seminar at Kyoto University,
  Kyoto,
  July 8, 2014.

• Reconstruction of a Number Field from the Absolute Galois Group (Talk Slides), (Reconstruction of a Number Field from the Absolute Galois Group in Japanese),
  Number Theory Workshop at Waseda University 18th,
  Tokyo,
  March 11-13, 2014.

• Moderate Points of Hyperbolic Curves,
  Fundamental groups in arithmetic and algebraic geometry,
  Ennio De Giorgi Mathematical Research Center,
  December 16-20, 2013.

• Grothendieck Conjecture for Hyperbolic Polycurves of Lower Dimension,
  Okayama Anabelful Days,
  Okayama,
  May 22-23, 2013.

• Grothendieck-Teichmüller Groups in the Combinatorial Anabelian Geometry,
  Grothendieck-Teichmüller theory and Multiple Zeta Values,
  Isaac Newton Institute for Mathematical Sciences in University of Cambridge,
  April 8-12, 2013.

• Conditional results on the birational section conjecture over small number fields,
  Galois covers and deformations,
  Université de Bordeaux 1,
  June 25-28, 2012.

• On the Grothendieck conjecture for hyperbolic polycurves,
  Mini-workshop on arithmetic geometry and related topics,
  Kyoto,
  April 9-11, 2012.

• On Grothendieck's Anabelian Section Conjecture (On Grothendieck's Anabelian Section Conjecture in Japanese),
  The 56th Algebra Symposium,
  Okayama,
  August 8-11, 2011.

• On a problem of Matsumoto and Tamagawa concerning monodromic fullness of hyperbolic curves,
  Séminaire de Théorie des Nombres,
  Université de Bordeaux 1,
  June 24, 2011.

• Galois-theoretic characterization of isomorphism classes of monodromically full hyperbolic curves of genus zero,
  Séminaire de théorie des nombres de l'IMJ,
  Université de Paris 6,
  June 20, 2011.

• Survey on the combinatorial anabelian geometry of hyperbolic curves (Talk Slides),
  Development of Galois-Teichmüller theory and anabelian geometry,
  Kyoto,
  October 25-30, 2010.

• Monodromic fullness in the anabelian geometry I,
  Monodromic fullness in the anabelian geometry II,
  Arithmetic Geometry Workshop 2010,
  Okinawa,
  September 2-6, 2010.

• Existence of nongeometric pro-p Galois sections of hyperbolic curves,
  PIA 2010: The arithmetic of fundamental groups,
  MAThematics Center Heidelberg in University of Heidelberg,
  February 8-12, 2010.

• Existence of nongeometric pro-p Galois sections of hyperbolic curves,
  Séminaire d'Arithmétique et de Géométrie Algébrique,
  Université Paris-Sud 11,
  February 2, 2010.

• Galois-theoretic characterization of isomorphism classes of monodromically full hyperbolic curves of genus zero,
  Sakura Workshop: Torsion of Abelian Schemes and Rational Points on Moduli Spaces,
  Université de Bordeaux 1,
  January 25-29, 2010.

• On the combinatorial cuspidalizations and the faithfulness of the outer Galois representations of hyperbolic curves (joint work with Shinichi Mochizuki),
  Anabelian Geometry,
  Isaac Newton Institute for Mathematical Sciences in University of Cambridge,
  August 24-28, 2009.

• Cuspidalizations of fundamental groups of configuration spaces,
  Arithmetic Galois Theory and Related Moduli Spaces,
  Kyoto,
  October 23-27; 30-31, 2006.

Lectures

• Abstractness and Universality in Mathematics,
  Kyoto University Forum,
  online,
  October 28, 2024.

• Anabelian Geometry,
  Regular lunch meeting between MEXT and research institutes/centers,
  online,
  July 7, 2023.

• Anabelian geometry of algebraic number fields and mixed-characteristic local fields from an algorithmic point of view (total 15 hours; Contents in Japanese),
  2022 Special lectures on advanced topics in Mathematics A at Tokyo Institute of Technology,
  Tokyo,
  July 11-15, 2022.

• Multiradial Representations and Log-volume Estimates (Talk Slides),
  Inter-universal Teichmüller Theory Summit 2021,
  Kyoto,
  September 7-10, 2021.

• Mono-anabelian Transport in Inter-universal Teichmüller Theory,
  Promenade in Inter-universal Teichmüller Theory,
  online,
  March 25, 2021.

• Familiar Mathematics • Unfamiliar Mathematics,
  Kyoto University High School Students Forum in TOKYO,
  Tokyo,
  October 26, 2019.

• Mono-anabelian Reconstruction Algorithms Related to Mixed-characteristic Local Fields (total 10 hours; Contents in Japanese),
  Intensive lectures at the University of Tokyo,
  Tokyo,
  October 29-November 2, 2018.

• Reconstruction of Addition of Rational Numbers from Multiplicative Data,
  Suuri no Tsubasa, Ikei Island Seminar 2018,
  Okinawa,
  August 23-27, 2018.

• Symmetries of Lattice Point Sets and Imaginary Quadratic Numbers,
  Zeze high school mathematics lecture,
  Shiga,
  January 12, 2018.

• Reconstruction Theorems Related to Four Arithmetic Operations of Rational/Complex Numbers,
  Yoshida Juku Lectures,
  Kyoto,
  December 18-21, 2017.

• An introduction to algebraic/arithmetic geometry via projective lines,
  Yoshida Juku 15th,
  Kyoto,
  August 29-31, 2017.

• 〚IUTch-III-IV〛 from the point of view of mono-anabelian transport I (Talk Slides),
  〚IUTch-III-IV〛 from the point of view of mono-anabelian transport II (Talk Slides),
  〚IUTch-III-IV〛 from the point of view of mono-anabelian transport III (Talk Slides),
  〚IUTch-III-IV〛 from the point of view of mono-anabelian transport IV (Talk Slides),
  Inter-universal Teichmüller Theory Summit 2016,
  Kyoto,
  July 18-27, 2016.

• Introduction to Mono-anabelian Geometry (total 4 hours; Contents),
  Fundamental groups in arithmetic geometry - Paris 2016,
  The Institut Henri Poincaré,
  May 26-June 3, 2016.

• An Approximate Statement of the Main Theorem of Inter-universal Teichmüller Theory (Talk Slides),
  Mono-anabelian Transport (Talk Slides),
  Hodge-Arakelov-theoretic Evaluation I (Talk Slides),
  Hodge-Arakelov-theoretic Evaluation II, (Talk Slides)
  Workshop on IUT theory of Shinichi Mochizuki,
  University of Oxford,
  December 7-11, 2015.

• Introduction to Inter-universal Teichmüller Theory I (Talk Slides; Appendix),
  Introduction to Inter-universal Teichmüller Theory II (Talk Slides),
  Introduction to Inter-universal Teichmüller Theory III (Talk Slides),
  Algebraic Number Theory and Related Topics 2015,
  Kyoto,
  November 30-December 4, 2015.

• Introduction to Inter-universal Teichmüller Theory,
  Arithmetic geometry study group seminar,
  Fukuoka,
  June 25, 2015.

• Reconstruction of Additive Structure from Multiplicative Information (total 5 hours; Reconstruction of Additive Structure from Multiplicative Information in Japanese),
  Extension lectures at Research Institute for Mathematical Sciences,
  Kyoto,
  August 4-8, 2014.

• Anabelian Geometry for Function Fields over Kummer-faithful Fields (total 7.5 hours; Contents in Japanese),
  Intensive lectures at Hiroshima University,
  Hiroshima,
  June 23-27, 2014.

• A Geometric Aspect of Number Fields Arising from Resemblance with Function Fields (total 10.5 hours; Contents in Japanese),
  Development of Mathematics - from basic to advanced B,
  Kyoto,
  October and November, 2013.

• Anabelian Geometry for p-adic Local Fields (total 7.5 hours; Contents in Japanese),
  Intensive lectures at Tokyo Institute of Technology,
  Tokyo,
  June 24-28, 2013.

• A Survey of Anabelian Geometry (On a Grothendieck Conjecture-type Result for Topological Surfaces in Japanese),
  Kinosaki Shinjin Seminar 10th,
  Hyogo,
  February 18-22, 2013.

• Algebraic functions, Riemann surfaces, and modern algebraic geometry,
  A talk for a visit of Meiwa High School to Research Institute for Mathematical Sciences,
  Kyoto,
  July 20, 2012.

• Classical Anabelian Geometry,
  Grothendieck Conjecture over Local Fields — from “Relative” to “Absolute” —,
  Automorphic forms and Galois representations,
  Durham University,
  July 18-28, 2011.
  

• On “cuspidalization” and “anabelioids”,
  Galois-theoretic Arithmetic Geometry,
  Kyoto,
  October 19-24, 2010.

• Reconstruction of the Additive Structure of Rational Numbers from Multiplicative Structures (June 7, 2024),
  Topics related to Gauss sums (May 20, 2022),
  Topics related to Jacobi sums (April 23, 2021),
  An introduction to some fundamental notions in number theory via quadratic fields (June 5, 2020),
  Primitive Root Conjecture (April 28, 2017),
  Lattices on the Plane and Arithmetic of Quadratic Fields (July 3, 2015),
  Reconstruction of the Field of Complex Numbers from the Family of Squares/Rectangles (April 25, 2014),
  Reconstruction of Addition of a Function Field from Its Multiplicative Structure (May 17, 2013),
  Arithmetic geometry on covers of projective lines (June 1, 2012),
  An introduction to algebraic/arithmetic geometry via projective lines (May 20, 2011),
  Introduction to the anabelian geometry via the geometry of projective lines (April 23, 2010),
  Invitation to Modern Mathematics and Mathematical Sciences,
  Kyoto.

• On the anabelian geometry,
  Kinosaki Shinjin Seminar 6th,
  Hyogo,
  February 16-20, 2009.

• Introduction to crystalline cohomology (total 15 hours),
  Research of geometry by l-adic and p-adic techniques,
  Aichi,
  August 23, 2007; September 6, 2007; September 27, 2007; October 17, 2007; November 7, 2007.