This is an in-person seminar at BIMSA over lunch, aimed to promote communications in the Number Theory teams at BIMSA and YMSC. Each talk is 45 minutes long and does not focus on research results. Instead, we encourage each speaker to discuss either (1) a basic notion in Number Theory or related fields or (2) applications or computational aspects of Number Theory. People interested in Number Theory are welcome to attend.

Abstract

In the late 1970s, Fontaine and Wintenberger found that certain interesting fields of characteristic zero and p have the same Galois groups, which eventually led to the theory of perfectoid fields and perfectoid spaces by Scholze. I will explain examples of these mathematical objects and why they are interesting. This is a less technical talk aimed at people in Number Theory and related fields.

Koji Shimizu

Tsinghua University

Koji Shimizu is an Assistant Professor at Yau Mathematical Science Center, Tsinghua University. His research areas are Number Theory, p-adic Hodge theory.

Personal Homepage:

https://ymsc.tsinghua.edu.cn/info/1033/2980.htm