Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Topic: Special cycles on simple Shimura varieties

Speaker: Wei Zhang

Affiliation: Massachusetts Institute of Technology

Date & Time: Thursday March 8th, 2018, 10:00am - 7:00pm

Location: Simonyi Hall 101

Video: https://video.ias.edu/RepTheoryAnalysisLocallySymmetricSpaces/2018/0308-WeiZhang

Abstract: This is a work in progress inspired by the the arithmetic Gan--Gross--Prasad conjecture where one is interested in the arithmetic diagonal cycle on the product of two Shimura varieties. We study special cycles on simple Shimura varieties attached to central simple algebras with an involution of second kind. We study some local questions arising from the relative trace formula approach.