EVENT DETAILS AND ABSTRACT

Title: On the parity conjecture for Selmer groups of modular forms
Speaker: Liang Xiao
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

The parity conjecture is a weak version of Birch-Swinnerton-Dyer Conjecture or more generally, Beilinson-Bloch-Kato Conjecture. It is conjectured that the vanishing order of the L-function at the central point has the same parity as the dimension of the Bloch-Kato Selmer group. I will explain an approach to this conjecture for modular forms by varying the modular forms in a p-adic family. This is a joint work with Kiran Kedlaya and Jay Pottharst.