# Mathematical Sciences Research Institute

Home » Number Theory Seminar: The parity conjecture in analytic families

# Seminar

Number Theory Seminar: The parity conjecture in analytic families October 15, 2014 (03:40 PM PDT - 04:30 PM PDT)
Parent Program: -- 740 Evans Hall
Speaker(s) Jonathan Pottharst (Boston University)
Description No Description
Video
The parity conjecture'' refers to the order of vanishing modulo 2 in the Bloch–-Kato conjecture on special values of motivic L-functions. After specializing to a class of cases where the conjecture can be formulated unconditionally, we generalize techniques of Nekov\'a\v r to show that the validity of the claim is constant in p-adic analytic families, and give applications to Hilbert modular forms. This is joint work with Liang Xiao.