for this workshop
Probabilistic methods, random matrices, and L-functions
at the
American Institute of Mathematics, Pasadena, California
organized by
Emma Bailey, Alexandra Florea, and Micah Milinovich
This workshop, sponsored by AIM and the NSF, will focus on the study of L-functions using techniques from both random matrix theory and stochastic processes. Over recent years, startling advancements have been made possible using this point of view. Notably, this includes moments, distributional statements, and significant advancements in the understanding of "typical" large values in short intervals via a connection with Gaussian multiplicative chaos.
The central theme of this workshop is to apply these methodologies to new problems, including those related to
- negative moments,
- quantitative results on value-statistics,
- extrema of L-functions.
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 July 14, 2026.
Before submitting an application, please read the description of the AIM style of workshop.
For more information email workshops@aimath.org
