AIM Workshop: Moments in families of L-functions over function fields

This workshop, sponsored by AIM and the NSF, will be devoted to interactions between homological stability and asymptotic questions in number theory over function fields. In recent years, homological stability of suitable Hurwitz spaces has been used to make great progress on function field cases of Cohen-Lenstra heuristics (Ellenberg-Venkatesh-Westerland), Malle's conjecture (Ellenberg-Tran-Westerland), the Conrey-Farmer-Keating-Rubinstein-Snaith predictions (Bergström-Diaconu-Petersen-Westerland, Miller-Patzt-Petersen-Randal-Williams), and heuristics on Selmer ranks (Ellenberg-Landesman). The goal of the workshop is to bring together researchers both from analytic number theory and topology, and to further explore the connections between the two fields.