Categorical local Langlands

BIMSA-YMSC Tsinghua Number Theory Seminar

About the Seminar

This is a research seminar on topics related to number theory and its applications which broadly can include related areas of interests such as analytic and algebraic number theory, algebra, combinatorics, algebraic and arithmetic geometry, cryptography, representation theory etc. The speakers are also encouraged to make their talk more accessible for graduate level students.

For more information, please refer to:

http://www.bimsa.cn/newsinfo/647938.html.

Abstract

The local Langlands correspondence is a conjectural relation between sets of smooth representations and Langlands parameters, which has recently been upgraded to categorical equivalences by Fargues-Scholze/Xinwen Zhu in two different ways. I will describe mywork in progress on comparing these two categories.

Speaker

吴峙佑，2019年博士毕业于英国剑桥大学，之后在马克斯普朗克研究所和北京国际数学中心任职博士后，主要科研方向为志村簇和p进霍奇理论。