Abstract: 

This short course is an introduction to the problem of computing the zeta function of Shimura varieties, or more concretely counting points. We will discuss the ideas of Langlands and Kottwitz of comparing the point counting with trace formulas, which eventually relates the zeta function with automorphic L functions.  We will start with the basics and the historic roots, and in the end talk about some more recent developments for general abelian-type Shimura varieties. The course consists of six lectures, each 1.5 hours long.  It is a natural follow-up of Liang Xiao's short course in late July at BICMR.

notes-counting points

Time:

10:00-11:30 am, August 9, 2021

10:00-11:30 am, August 11, 2021

10:00-11:30 am, August 13, 2021

10:00-11:30 am, August 16, 2021

10:00-11:30 am, August 18, 2021

10:00-11:30 am, August 20, 2021

Zoom:

ID：860 6562 2199

Code：822154