Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects hep-th
Date Thursday 28 September 2023
Time 11:00
Institute IHP
Seminar Room Amphi Darboux (unusual location !)
Speaker's Last Name Cautis
Speaker's First Name Sabin
Speaker's Email Address cautis [at] math [dot] ubc [dot] ca
Speaker's Institution University of British Columbia
Title The categorical structure of Coulomb branches
Abstract Coulomb branches have recently been given a rigorous mathematical definition by the work of Braverman-Finkelberg-Nakajima. We will discuss their geometric and categorical structure based on recent work with Harold Williams. The Grothendieck groups of these categories recover previously studied algebras such as double affine Hecke algebras (DAHAs), certain open Richardson varieties in affine flag manifolds, multiplicative Nakajima quiver varieties etc. One of our main results is that these Coulomb categories carry a natural t-structure consisting of what we call Koszul-perverse coherent sheaves. The classes of such simple sheaves give a canonical basis of these algebras in a uniform way. These Coulomb categories also carry (conjecturally) a cluster structure. We will survey some of these results as time (and interest) permits.
arXiv Preprint Number 2306.03023

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