Liang Xiao : On the parity conjecture for Selmer groups of modular forms

Posted by Alina Carmen Cojocaru , part of the Number Theory Seminar.

At

Nov. 14, 2011, 3 p.m.

In

SEO 612

Abstract

The parity conjecture is a weak version of BSD Conjecture or more generally, Beilinson-Bloch-Kato Conjecture. It is conjectured that the 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 form in a p-adic family. This is a joint work with Kiran Kedlaya and Jay Pottharst.