## 戦略的パートナーシップ・パリグランゼコール群 講演会

Strategic Partnership Project (Paris Grandes Écoles Group): Lecture Series

We will have the following lecture series on arithmetic geometry in the framework of
the Strategic Partnerships Project (Paris Grandes Écoles Group) of the University of Tokyo.

9(Thu) March 2023, 14:00-15:00

9(Thu) March 2023, 15:30-16:30

10(Fri) March 2023, 10:00-11:00

Place: ~~ Room 117~~ ** Room 002 **, Graduate School of Mathematica Sciences, the University of Tokyo

Speaker: Yves André (CNRS, Sorbonne Université)

Title: *p*-adic methods in commutative algebra

Abstract: This lecture series will present an overview of the *p*-adic methods in commutative algebra in various guises.

The first talk will focus on some central questions in commutative algebra related to the so-called homological conjectures.

The second talk will explain how *p*-adic methods answer these questions. Instead of following the initial path (due to the speaker), we will take advantage of later simplifications due to B. Bhatt, L. Ma, O. Gabber and the speaker, and present what appears now to be the shortest path.

The third talk will reinterpret and reconsider these results from the point of view of the canonical topology and fpqc topology on schemes, especially how finite coverings distinguish them (a geometric viewpoint on the theory of splinters - joint work with L. Fiorot).

To attend the lecture series, please register from here.

(We will limit the number of people in the audience, and so it is possible that we have to decline your attendance.)

Slide of the third talk

Past activities

Organizer: Atsushi Shiho (the University of Tokyo)