for this workshop
Developments in moduli problems
American Institute of Mathematics, San Jose, California
Jarod Alper, Daniel Halpern-Leistner, Yuchen Liu, and Filippo Viviani
This workshop, sponsored by AIM and the NSF, will be devoted to applications of recent foundational developments in the theory of algebraic stacks to study 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:
- Topic 1: Compactifications of the universal G-bundle over stable curves.
- Topic 2: Stability conditions for singular curves and the log minimal model program for Mg.
- Topic 3: Stability conditions for polarized schemes and varieties.
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.
The deadline to apply for support to participate in this workshop has passed.
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