Moduli problems beyond geometric invariant theory

January 25 to January 29, 2021

at the

American Institute of Mathematics, San Jose, California

organized by

Jarod Alper, Daniel Halpern-Leistner, Yuchen Liu, and Filippo Viviani

Original Announcement

This workshop will be devoted to applications of recent foundational developments in the theory of algebraic stacks (constructions of moduli spaces and generalizations of Harder-Narasimhan theory) to specific moduli problems of long-standing interest, such as the moduli of curves, the moduli of higher dimensional varieties and the moduli of principal bundles. This workshop will bring together experts in each of these moduli problems.

The workshop will focus on the following particularly promising applications:

  1. Stability conditions for singular curves and the minimal model program for $M_g.$

  2. Theta-stratifications and wall crossings for moduli spaces of Fano varieties

  3. Moduli of singular principal $G$-bundles and compactifications of the universal $G$-bundle over stable curves.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.