中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
数论研讨班
报告人： 吴峙佑 博士（Beijing International Center for Mathematical Research）
题 目：Shimura varieties and p-adic geometry
时 间：2022.12.09（星期五），08:30-09:30
地 点：腾讯会议：971-563-279
摘 要： Shimura varieties are a class of algebraic geometric spaces that play a very important role in arithmetic geometry, especially in the Langlands program. In recent years, methods from the geometric representation theory have been introduced in this field, most notably by Liang Xiao and Xinwen Zhu, providing fruitful new perspectives. On the other hand, Peter Scholze has developed a completely new p-adic geometry based on the theory of perfectoid spaces, which has been used with great success in his work with Laurent Faruges to establish one direction of the local Langlands correspondences. I will describe how these revolutionary developments together lead to advances in the theory of Shimura varieties and related fields. In particular, I will talk about how it leads to a proof of Xiao-Zhu's S=T conjecture and the Blasius-Rogawski conjecture.
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