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

Athens-Atlanta Number Theory Seminar
Thursday, April 14, 2016 - 5:15pm
1 hour (actually 50 minutes)
Skiles 006
Stanford University
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).