Virasoro constraints in sheaf theory and vertex algebras

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Event details

Date 03.11.2022
Hour 10:1512:00
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)

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