Intersection numbers and higher derivatives of L-functions for function fields

Series
Athens-Atlanta Number Theory Seminar
Time
Thursday, April 14, 2016 - 5:15pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Zhiwei Yun – Stanford University
Organizer
Matt Baker
In joint work with Wei Zhang, we prove a higher derivative analogue of the Waldspurger formula and the Gross-Zagier formula in the function field setting under the assumption that the relevant objects are everywhere unramified. Our formula relates the self-intersection number of certain cycles on the moduli of Shtukas for GL(2) to higher derivatives of automorphic L-functions for GL(2).