Uniform homological stability and moments of $L$-functions
Adrian Diaconu
Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania & University of Minnesota, USA
Abstract:
In this talk, I will begin by recalling the conjectural
asymptotic formula for the moments of quadratic Dirichlet $L$-functions,
and discuss the importance of studying the moments of this family of
$L$-functions. Then I will explain the main ideas behind a novel
approach to obtain an asymptotic formula for all these moments in the
rational function field setting. Based on joint work with Bergström,
Petersen, and Westerland.