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Documents  Jordan, David | enregistrements trouvés : 2

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Research talks

Skein algebras are certain diagrammatically defined algebras spanned by tangles drawn on the cylinder of a surface, with multiplication given by stacking diagrams. Quantum cluster algebras are certain systems of mutually birational quantum tori whose defining relations are encoded in a quiver drawn on the surface. The category of quantum character sheaves is a $q$-deformation of the category of ad-equivariant $D$-modules on the group $G$, expressed through an algebra $D_q (G)$ of “q-difference” operators on $G$.
In this I talk I will explain that these are in fact three sides of the same coin - namely they each arise as different flavors of factorization homology, and hence fit in the framework of four-dimensional topological field theory.
Skein algebras are certain diagrammatically defined algebras spanned by tangles drawn on the cylinder of a surface, with multiplication given by stacking diagrams. Quantum cluster algebras are certain systems of mutually birational quantum tori whose defining relations are encoded in a quiver drawn on the surface. The category of quantum character sheaves is a $q$-deformation of the category of ad-equivariant $D$-modules on the group $G$, ...

13F60 ; 16TXX ; 17B37 ; 58B32

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- 166 p.
ISBN 978-1-85233-377-5

Localisation : Ouvrage RdC (HUGG)

topologie # formalisme mathématique # homéomorphisme # ensemble # sous-ensemble # polyhèdre # noeud # surface # Bouteille de Kleir

54-01 ; 57-01

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