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.
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces
Special cycles on simple Shimura varieties
Massachusetts Institute of Technology
Date & Time
March 08, 2018 | 10:00 – 11:00am
Simonyi Hall 101