#
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:

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

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

- 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.