EVENT DETAILS AND ABSTRACT

Title: Cycles on the special fiber of some Shimura varieties and Tate conjecture
Speaker: Liang Xiao
Speaker Info: University of Connecticut
Brief Description:
Special Note:
Abstract:

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.