Zeta Functions of Shimura Varieties: Past, Present, and the Near Future

 

Date:June 21st, 16:00-17:00


Location:Lecture hall


Abstract:

I will first recall the general expectations of Shimura, Langlands, and Kottwtiz on the shape of the zeta function of a Shimura variety, or more generally its etale cohomology. I will then report on some recent progress which partially fulfills these expectations, for Shimura varieties of unitary groups and special orthogonal groups. Finally, I will give a preview of some foreseeable developments in the near future.


Introduction of Speaker:

Yihang Zhu is an assistant professor at University of Maryland. He received his phd at Harvard University under Mark Kisin, and was Ritt Assistant Professor at Columbia University before joining Maryland. His research interest includes Shimura varieties and affine Deligne-Lusztig varieties.


Welcome!