A New Approach to Waldspurger's Formula.

Number Theory Seminar

Rahul Krishna (Northwestern)

Wednesday, April 19, 2017 -
3:15pm to 4:15pm
119 Physics

I will present a new trace formula approach to Waldspurger's formula for toric periods of automorphic forms on $PGL_2$. The method is motivated by interpreting Waldspurger's result as a period relation on $SO_2 \times SO_3$, which leads to a strange comparison of relative trace formulas. I will explain the local results needed to carry out this comparison, and discuss some small progress towards extending these results to high rank orthogonal groups.