Speaker: Ki Fung Chan (The Institute of Mathematical Sciences, The Chinese University of Hong Kong)
Time: 2025-06-27 16:00
Location: R1610, SIMIS
Zoom Meeting ID: 835 1352 9227 (Passcode: 046576)
Abstract:
Given a complex reductive group G and a G-representation N, there is an associated quantized Coulomb branch algebra defined by Braverman, Finkelberg and Nakajima. In this talk, we give a new interpretation of the Coulomb branch algebra as the largest subalgebra of the equivariant Borel-Moore homology of the affine Grassmannian on which shift operators can naturally be defined. As a main application, we show that if X is a smooth semiprojective variety equipped with a G-action, and X–>N is a G-equivariant proper holomorphic map, then the equivariant big quantum cohomology QH_G(X) defines a quasi-coherent sheaf of algebras on the Coulomb branch with coisotropic support. Upon specializing the Novikov and bulk parameters, this sheaf becomes coherent with Lagrangian support. We will talk about other applications if time permits.
About Speaker:
Ki Fung Chan is a PhD student at the Chinese University of Hong Kong under the supervision of Prof. Conan Leung. His research interest lies in algebraic geometry, symplectic geometry, representation theory, and 2d and 3d mirror symmetry.
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