Automorphism Groups of Shimura Varieties mod $p$
Speaker:
Haruzo Hida, University of California, Los Angeles
Date and Time:
Thursday, March 6, 2003 - 9:30am to 10:30am
Location:
Fields Institute, Room 230
Abstract:
We try to prove that any scheme automorphism of each geometrically irreducible component of a certain Shimura variety of PEL type modulo $p$ (of prime-to-$p$ level) is given by an isogeny action (generalizing a result of Shimura in characteristic 0). This can be generalized also to the naive Igusa tower over the variety. If time allows, we would be able to discuss some application of this result.