Hyperelliptic curves, scanning, and moments of quadratic L-functions

Date: 2022-03-03

Time: 14:15 - 16:00


Dan Petersen


I will explain a calculation of the stable cohomology of the hyperelliptic mapping class group with coefficients in an arbitrary symplectic representation. The result is closely related to, and provides a geometric interpretation of, a series of conjectures on asymptotics of moments of families of quadratic L-functions. (Joint with J. Bergström, A. Diaconu and C. Westerland).