Published:
[Erscheinungsort nicht ermittelbar]: Banff International Research Station (BIRS) for Mathematical Innovation and Discovery, 2019
Published in:Algebraic and Geometric Categorification (19w5074) ; (Jan. 2019)
Extent:
1 Online-Ressource (168 MB, 00:47:24:22)
Language:
English
DOI:
10.5446/56623
Identifier:
Origination:
Footnote:
Audiovisuelles Material
Description:
Coulomb branches have recently been given a good mathematical footing thanks to work of Braverman-Finkelberg-Nakajima. We will discuss their categorical structure. For concreteness we focus on the massless case which leads us to the category of coherent sheaves on the affine Grassmannian (the so called coherent Satake category). This category is conjecturally governed by a cluster algebra structure. We will describe a solution to this conjecture in the case of general linear groups and discuss extensions of this result to more general Coulomb branches of 4D N=2 gauge theories. This is joint work with Harold Williams