Special cycles on simple Shimura varieties

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:Thursday, March 8
Time/Room:10:00am - 11:00am/Simonyi Hall 101
Video Link: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.