Number Theory

Title: Hodge classes on products of quaternionic Shimura varieties
Speaker: Kartik Prasanna
Speaker Info: University of Michigan
Brief Description:
Special Note:

I will discuss the relation between Langlands functoriality and the theory of algebraic cycles in one of the simplest instances of functoriality, namely the Jacquet-Langlands correspondence for Hilbert modular forms. In this case, functoriality gives rise to a family of Tate classes on products of quaternionic Shimura varieties. The Tate conjecture predicts that these classes come from an algebraic cycle, which in turn should give rise to a Hodge class that is compatible with the Tate classes. While we cannot yet prove the Tate conjecture in this context, I will outline an unconditional proof of the existence of such a Hodge class. This is joint work (in progress) with A. Ichino.
Date: Monday, April 18, 2016
Time: 4:00PM
Where: Lunt 107
Contact Person: Yifeng Liu
Contact email: liuyf@math.northwestern.edu
Contact Phone:
Copyright © 1997-2024 Department of Mathematics, Northwestern University.