|Workshop on Representation Theory and Analysis on Locally Symmetric Spaces|
|Topic:||Special cycles on simple Shimura varieties|
|Affiliation:||Massachusetts Institute of Technology|
|Date:||Thursday, March 8|
|Time/Room:||10:00am - 11:00am/Simonyi Hall 101|
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.