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Statut |
Confirmé |
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Série |
SEM-DARBOUX |
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Domaines |
hep-th |
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Date |
Jeudi 28 Septembre 2023 |
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Heure |
11:00 |
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Institut |
IHP |
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Salle |
Amphi Darboux (unusual location !) |
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Nom de l'orateur |
Cautis |
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Prenom de l'orateur |
Sabin |
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Addresse email de l'orateur |
cautis [at] math [dot] ubc [dot] ca |
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Institution de l'orateur |
University of British Columbia |
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Titre |
The categorical structure of Coulomb branches |
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Résumé |
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. |
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Numéro de preprint arXiv |
2306.03023 |
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Commentaires |
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Fichiers attachés |
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