Time：October 19, Thursday, 16:00-18:00

Venue： Lecture Hall

Title: Coulomb branch and enumerative geometry

Speaker：Zijun Zhou周子浚 (Shanghai Jiaotong University）

Abstract:  Coulomb branches of 3d N=4 theories and their quantizations, originated appearing in physics and later developed by Braverman-Finkelberg-Nakajima, provide new ways of constructing algebras. In this talk, I will discuss its connection to enumerative geometry, where representations of Coulomb branches are expected to show up from the moduli of quasimaps into Higgs branches. Interesting enumerative invariants, such as I-functions/Okounkov's vertex functions, quantum differential/difference modules, etc. can be described in terms of quantized Coulomb branch. I'll also talk about potential applications, includding variation of GIT and 3d mirror symmetry in the abelian case.

Welcome!