Virasoro constraints in sheaf theory and vertex algebras

Event details
Date | 03.11.2022 |
Hour | 10:15 › 12:00 |
Speaker | Woonam Lim (ETHZ) |
Location | |
Category | Conferences - Seminars |
Event Language | English |
In enumerative geometry, Virasoro constraints were first conjectured in Gromov-Witten theory with many new recent developments in the sheaf theoretic context. In joint work with A. Bojko and M. Moreira, we rephrase the sheaf-theoretic Virasoro constraints in terms of primary states coming from a natural conformal vector in Joyce’s vertex algebra. This shows that Virasoro constraints are preserved under wall-crossing. As an application, we prove the conjectural Virasoro constraints for moduli spaces of torsion-free sheaves on any curve and on surfaces with only (p,p) cohomology classes.
Practical information
- Informed public
- Free
Organizer
- Dimitri Wyss
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)