| Speaker: | Chenjing Bu |
|---|---|
| Title: | Intrinsic enumerative geometry |
| Date (JST): | Tue, Apr 08, 2025, 13:30 - 15:00 |
| Place: | Seminar Room A |
| Abstract: |
In this talk, I will explain a new framework for studying the enumerative geometry of algebraic stacks, with the aim of generalizing existing enumerative theories, such as Donaldson–Thomas theory, from moduli stacks of objects in abelian categories to general stacks. A key ingredient of the framework is the component lattice of a stack, which globalizes the cocharacter lattice and the Weyl group of an algebraic group. I will briefly describe applications of the framework in motivic and cohomological DT theory. These include the construction of motivic DT invariants and BPS cohomology for general smooth, (−1)- or 0-shifted symplectic Artin stacks, and a general decomposition theorem in the style of Davison–Meinhardt. This talk is based on several joint works with Ben Davison, Daniel Halpern-Leistner, Andrés Ibáñez Núñez, Tasuki Kinjo, and Tudor Pădurariu. |
