Waldspurger formula over function fields


Chih-Yun Chuang

13:30:00 - 14:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

Let k be a global function field with odd characteristic and kA be the adele ring of k. Let Π be an automorphic cuspidal representation of GL2(A), and χ be a unitary Hecke character which is defined on the idele group of a separable quadratic field over k. In this talk, we will present a function field version of the Waldspurger formula for the central critical value of Rankin-Selberg L-functions L(Π x χ , s). We manage to derive an explicit formula for the special L-values in questions. (This is  a joint work with Fu-Tsun Wei. )