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SUMMARY:Virasoro constraints in sheaf theory and vertex algebras
DTSTART:20221103T101500
DTEND:20221103T120000
DTSTAMP:20260428T223219Z
UID:9ebb797a051febb28aef97b128b26ec4c98b88af91b07ae2c4436428
CATEGORIES:Conferences - Seminars
DESCRIPTION:Woonam Lim (ETHZ)\nIn enumerative geometry\, Virasoro constrai
 nts were first conjectured in Gromov-Witten theory with many new recent de
 velopments in the sheaf theoretic context. In joint work with A. Bojko and
  M. Moreira\, we rephrase the sheaf-theoretic Virasoro constraints in ter
 ms of primary states coming from a natural conformal vector in Joyce’s v
 ertex algebra. This shows that Virasoro constraints are preserved under wa
 ll-crossing. As an application\, we prove the conjectural Virasoro constra
 ints for moduli spaces of torsion-free sheaves on any curve and on surface
 s with only (p\,p) cohomology classes.
LOCATION:GR A3 32 https://plan.epfl.ch/?room==GR%20A3%2031
STATUS:CONFIRMED
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