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Seminars

Algebraic Geometry Seminar

T-deformations of vertex algebras from wall-crossing and their Virasoro algebras

2026/08/26 (Wed.) 15:00~17:00
  • Date : 2026/08/26 (Wed.) 15:00~17:00
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Arkadij Bojko (SIMIS and Fudan University)
  • Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
  • Abstract : There are two natural ways to deform Joyce's construction of vertex algebras. One is to include tautological insertions, and the other is to work equivariantly. I introduce T-deformed vertex algebras, which unify these two refinements. For the purpose of wall-crossing, they must be treated differently because the associated Lie algebras use different expansions. I will explain this behavior explicitly by studying tautological stable pair wall-crossing and the equivariant 2-loop quiver. Using the calculus of T-deformed vertex algebras developed in an upcoming joint work with E. Bouaziz, we derive 7 new Virasoro algebras for the affine plane.
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