Motives and mapping class groups

January 27 to January 31, 2025

at the

American Institute of Mathematics, Pasadena, California

organized by

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

Original Announcement

This workshop 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 Painlevé VI
  4. Representations theory of mapping class groups and big monodromy

Material from the workshop

A list of participants.

The workshop schedule.