Algebraic Geometry Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- 138 Henry Administrative Building
- Date
- Sep 12, 2023 3:00 pm
- Speaker
- Felix Janda
- Contact
- Sheldon Katz
- katzs@illinois.edu
- Views
- 57
- Originating Calendar
- Algebraic Geometry Calendar
Title: Fixed point loci in moduli problems
Abstract: Whenever a smooth variety X admits the action of a torus T, the Atiyah-Bott localization formula allows reducing computations in the cohomology of X to computations on the fixed locus X^T. This is particularly powerful when X^T is more explicit than X, as it is often the case in moduli theory.
In my talk, I will explain why in the context of localization, it is essential to work with the moduli stack as opposed to the moduli space, and I will discuss joint work with J. Alper that describes the global structure of torus fixed loci in algebraic stacks.