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Future seminars
Seminar information archive ～03/17｜Today's seminar 03/18 | Future seminars 03/19～
2026/03/19
FJ-LMI Seminar
13:30-14:15 Room #056 (Graduate School of Math. Sci. Bldg.)
Amaury HAYAT (ENPC, Paris)
How can AI Help Mathematicians? (英語)
https://fj-lmi.cnrs.fr/seminars/
Amaury HAYAT (ENPC, Paris)
How can AI Help Mathematicians? (英語)
[ Abstract ]
The advent of artificial intelligence raises an important question: can AI assist mathematicians in solving open problems in mathematics? This talk explores this question from multiple perspectives. We will explore how different types of AI models can be trained to provide valuable insights into mathematical questions from different areas of mathematics and applied mathematics. We will also present recent works on AI models specifically designed for automated theorem proving.
[ Reference URL ]The advent of artificial intelligence raises an important question: can AI assist mathematicians in solving open problems in mathematics? This talk explores this question from multiple perspectives. We will explore how different types of AI models can be trained to provide valuable insights into mathematical questions from different areas of mathematics and applied mathematics. We will also present recent works on AI models specifically designed for automated theorem proving.
https://fj-lmi.cnrs.fr/seminars/
2026/03/27
Colloquium
16:00-17:00 Room #NISSAY Lecture Hall(大講義室) (Graduate School of Math. Sci. Bldg.)
Nakahiro Yoshida (Graduate School of Mathematical Sciences, The University of Tokyo)
A study of chance and randomness: a personal history with selection bias (日本語)
Nakahiro Yoshida (Graduate School of Mathematical Sciences, The University of Tokyo)
A study of chance and randomness: a personal history with selection bias (日本語)
[ Abstract ]
My studies in probability and statistics have been guided by numerous coincidences, even though my direction has at times been seemingly random. Aware of the bias inherent in my selection of topics and retrospective evaluation of events, I reflect on the trajectory that has brought me to the present.
My studies in probability and statistics have been guided by numerous coincidences, even though my direction has at times been seemingly random. Aware of the bias inherent in my selection of topics and retrospective evaluation of events, I reflect on the trajectory that has brought me to the present.
2026/04/10
Geometric Analysis Seminar
16:00-17:00 Room # (Graduate School of Math. Sci. Bldg.)
Shinichiroh Matsuo (Nagoya University)
Discretization of Dirac operators and lattice gauge theory (日本語)
https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/
Shinichiroh Matsuo (Nagoya University)
Discretization of Dirac operators and lattice gauge theory (日本語)
[ Abstract ]
Our ultimate goal is to discretize Seiberg-Witten theory.
Considering PL = DIFF in dimension four, we would like to construct something like PL Seiberg-Witten theory.
As a first step towards this goal, we study the discretization of the analytic index of Dirac operators.
However, the analytic index of Fredholm operators is an essentially infinite-dimensional phenomenon, while the index theory of finite-dimensional self-adjoint operators is trivial.
Thus, a naive discretization of Dirac operators does not work.
In this talk, I will explain how the “Wilson-Dirac operator” from lattice gauge theory provides a correct discretization, at least from the viewpoint of the analytic index.
This talk is based on a joint work with Shoto Aoki, Hidenori Fukaya, Mikio Furuta, Tetsuya Oonogi, and Satoshi Yamaguchi.
https://arxiv.org/abs/2602.12576
https://arxiv.org/abs/2407.17708
[ Reference URL ]Our ultimate goal is to discretize Seiberg-Witten theory.
Considering PL = DIFF in dimension four, we would like to construct something like PL Seiberg-Witten theory.
As a first step towards this goal, we study the discretization of the analytic index of Dirac operators.
However, the analytic index of Fredholm operators is an essentially infinite-dimensional phenomenon, while the index theory of finite-dimensional self-adjoint operators is trivial.
Thus, a naive discretization of Dirac operators does not work.
In this talk, I will explain how the “Wilson-Dirac operator” from lattice gauge theory provides a correct discretization, at least from the viewpoint of the analytic index.
This talk is based on a joint work with Shoto Aoki, Hidenori Fukaya, Mikio Furuta, Tetsuya Oonogi, and Satoshi Yamaguchi.
https://arxiv.org/abs/2602.12576
https://arxiv.org/abs/2407.17708
https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/
2026/04/22
Seminar on Mathematics for various disciplines
10:30-11:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Hidekazu Yoshioka (Japan Advanced Institute of Science and Technology)
Non-standard mathematical models for a deeper understanding of aquatic environments (日本語)
Hidekazu Yoshioka (Japan Advanced Institute of Science and Technology)
Non-standard mathematical models for a deeper understanding of aquatic environments (日本語)
