Number Theory Seminar
Liang Xiao
University of Chicago
On the parity conjecture for Selmer groups of modular forms
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.
Monday November 14, 2011 at 3:00 PM in SEO 612