Number Theory Seminar: Nike Vatsal (UBC)

  • Date: 01/13/2011
Lecturer(s):

Nike Vatsal (UBC)

Location: 

University of British Columbia

Topic: 

The relative trace formula for SL_2

Description: 

In a previous lecture I waved my hands at the subject of period integrals for automorphic forms on SL_2. If that lecture had a point, it was that the phenomenon of non-vanishing of quadratic twists of L-functions was somehow related to the non-vanishing of the symmetric square L-function. In this lecture, I will try to substantiate that claim by describing the relative trace formula of Jacquet, and by sketching the general shape of this formula for the group SL_2. In the end, I'll try to explain how one might get information about quadratic twists directly from the symmetric square if only one had a stable form of Jacquet's formula, and if one could explicitly evaluate the stable and kappa-stable portions.

Schedule: 

4:10pm-5:00pm, WMAX 216

Sponsor: 

pims