Equivariant Verlinde algebra and quantum K-theory of the moduli space of vortices

Name: Equivariant Verlinde algebra and quantum K-theory of the moduli space of vortices
Start: 2022-04-19T09:30:00-04:00
End: 2022-04-19T10:30:00-04:00
Location: Virtually

CMSA EVENTS: CMSA ALGEBRAIC GEOMETRY IN STRING THEORY SEMINAR

When: April 19, 2022

9:30 am - 10:30 am

Where: Virtually

Speaker: Ming Zhang - UCSD

In studying complex Chern-Simons theory on a Seifert manifold, Gukov-Pei proposed an equivariant Verlinde formula, a one-parameter deformation of the celebrated Verlinde formula. It computes, among many things, the graded dimension of the space of holomorphic sections of (powers of) a natural determinant line bundle over the Hitchin moduli space. Gukov-Pei conjectured that the equivariant Verlinde numbers are equal to the equivariant quantum K-invariants of a non-compact (Kahler) quotient space studied by Hanany-Tong.

In this talk, I will explain the setup of this conjecture and its proof via wall-crossing of moduli spaces of (parabolic) Bradlow-Higgs triples. It is based on work in progress with Wei Gu and Du Pei.

For information on how to join, please see: https://cmsa.fas.harvard.edu/seminars-and-colloquium/