Apply for funding
for this workshop

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

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.

The main topics for the workshop are:

  • Homological stability for moduli spaces
  • Arithmetic statistics over function fields
  • The connections between the above two points

This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than December 10, 2024. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.

Before submitting an application, please read the description of the AIM style of workshop.

For more information email

Plain text announcement or brief announcement.