Moments in families of L-functions over function fields
April 28 to May 2, 2025
at the
American Institute of Mathematics,
Pasadena, California
organized by
Alexandra Florea,
Dan Petersen,
and Craig Westerland
Original Announcement
This workshop 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.
The main topics for the workshop are:
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Homological stability for moduli spaces
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Arithmetic statistics over function fields
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The connections between the above two points
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
