Chiralization of Nakajima quiver varieties
Dr. Yehao Zhou
2024-02-28 14:00-15:30
MCM110
Speaker: Dr. Yehao Zhou (Kavli IPMU, University of Tokyo)Time: 14:00-15:30 February 28, 2024 (Wednesday)
Place: MCM110
Title: Chiralization of Nakajima quiver varieties
Abstract: Chiralization is a procedure that quantizes the jet scheme of a given scheme. In the first part of this talk I will introduce chiralization of a Nakajima quiver variety, which produces a sheaf of hbar-adic vertex algebras on an extended Nakajima quiver variety, following the construction in the recent work of Arakawa-Kuwabara-Moller. I will also introduce a global version of the above construction, which assigns a vertex algebra to a quiver. The latter global version is closely related to what physicists called “boundary vertex algebra of a H-twisted 3d N=4 quiver gauge theory”. It turns out that there exists a natural global to local map, whose injectivity or surjectivity is not clear in general. In the second part of this talk I will explain an idea of the proof of injectivity for a class of quivers.
