Title	K-theoretic quasimap wall-crossing for GIT quotients
Creator	Zhang, Ming
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-21T09:02
Description	For a large class of GIT quotients X=W//G, Ciocan-Fontanine-Kim-Maulik and many others have developed the theory of epsilon-stable quasimaps. The conjectured wall-crossing formula of cohomological epsilon-stable quasimap invariants for all targets in all genera has been recently proved by Yang Zhou. In this talk, we will introduce permutation-equivariant K-theoretic epsilon-stable quasimap invariants with level structure and prove their wall-crossing formulae for all targets in all genera. In physics literature, these invariants are related to the \(3d N = 2\) supersymmetric gauge theories studied by Jockers-Mayr, and the wall-crossing formulae can be interpreted as relations between invariants in the UV and the IR phases of the \(3d\) gauge theory. It is based on joint work in progress with Yang Zhou.
Extent	64.0 minutes
Subject	Mathematics; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of British Columbia
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-05-20
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390929
URI	http://hdl.handle.net/2429/74531
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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K-theoretic quasimap wall-crossing for GIT quotients Zhang, Ming

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