for this workshop
Moments of the derivative of characteristic polynomials and L-functions
at the
American Institute of Mathematics, Pasadena, California
organized by
Michael Rubinstein, Nina Snaith, and Caroline Turnage-Butterbaugh
This workshop, sponsored by AIM and the NSF, will focus on the connection between random matrix theory and number theory, in the context of moments of the derivative of characteristic polynomials of matrices from the classical compact groups, and of the analogous L-functions.
These inquiries become particularly intricate when the exponent on the derivative is non-integer or when the evaluation point of the characteristic polynomial approaches the unit circle at varying rates. Exploring these statistics will improve our understanding of the distribution of zeros, and the value distribution of L-functions.
Possible topics, both for characteristic polynomials and L-functions:
- Moments of the derivative
- Distribution of zeros of the derivative
- Higher derivatives
- Related differential equations
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 1, 2025.
Before submitting an application, please read the description of the AIM style of workshop.
For more information email workshops@aimath.org
