Intersection numbers and higher derivatives of Lfunctions for functions fields, I
Intersection numbers and higher derivatives of Lfunctions for functions fields, I

Zhiwei Yun , Stanford University
Fine Hall 322
In joint work with Wei Zhang, we prove a higher derivative analogue of the Waldspurger formula and the GrossZagier formula in the function field setting under the assumption that the relevant objects are everywhere unramified. Our formula relates the selfintersection number of certain cycles on the moduli of Shtukas for GL(2) to higher derivatives of automorphic Lfunctions for GL(2). In this first talk, I will explain the geometric construction behind the formula.