Intersection numbers and higher derivatives of Lfunctions for function fields, II
Intersection numbers and higher derivatives of Lfunctions for function fields, II

Zhiwei Yun , Stanford University
Fine Hall 314
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). This second talk does not assume the first talk, and I will give motivations and the complete statement of the formula.