Tuesday, February 20, 2018
Building 15, Room 122
Number Theory Seminar
Special cycles on simple Shimura varieties
Wei Zhang, Department of Mathematics, MIT
This is a work in progress inspired by 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.