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Chiralization of Nakajima quiver varieties

来源: 03-01

时间:2024-3-1, FRIDAY 2:00-3:30 pm

地点:B627, Shuangqing Complex Building A

组织者:Will Donovan, Penghui Li, Peng Shan, Changjian Su, Lin Chen

主讲人:Yehao Zhou(Kavli IPMU)

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.

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