Geometric Representation Theory

Event Information Cycles on the special fiber of some Shimura varieties and Tate conjecture
15:30 on Friday January 19, 2018
17:00 on Friday January 19, 2018
Stewart Library, Fields Institute, 222 College St.
Liang Xiao

University of Connecticut

We describe the irreducible components of the basic locus of Shimura varieties of Hodge type at a place with good reduction, when the basic locus is of middle dimension. Under certain genericity condition, we show that they generate the Tate classes of the special fiber of the Shimura varieties. This is a joint work with Xinwen Zhu.