Apply for funding
for this workshop

Motives and mapping class groups

January 27 to January 31, 2025

at the

American Institute of Mathematics, Pasadena, California

organized by

Helene Esnault, Aaron Landesman, Daniel Litt, and Andy Putman

This workshop, sponsored by AIM and the NSF, will bring together experts to investigate the dynamics of character varieties under actions of mapping class groups, Frobenius, and Galois groups.

The topic of this workshop is a melting pot for topology, through mapping class groups; algebraic geometry, through the moduli space of curves; number theory, through motives and the Langlands program; analysis, through isomonodromy differential equations and non-abelian Hodge theory; and group theory, through representations of surface groups and mapping class groups. One of our main objectives is to encourage participants from different fields of math to share their expertise with mathematicians in other areas, as well as communicate problems of interest between different mathematical disciplines.

The main topics for the workshop are

  1. Dynamics of actions on character varieties of surfaces
  2. Motivic aspects of character varieties
  3. Around isomonodromy and Painlev\'e VI
  4. Representations theory of mapping class groups and big monodromy

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 September 1, 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 workshops@aimath.org


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