Séminaires : Séminaire Claude Chevalley

Equipe(s) :
Responsables :O. Brunat, M. Cabanes, et O. Dudas.
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Salle : 11 rue Pierre et Marie Curie - 75005 Paris
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Description

Orateur(s) Catharina STROPPEL - University of Glasgow,
Titre Fusion algebras and quantum cohomology
Date14/01/2010
Horaire10:30 à 11:30
Diffusion
RésumeFusion algebras (also known as Verlinde algebras) appear either in the representation theory of Kac-Moody Lie algebras, Hecke algebras or tilting modules for quantum groups, namely as Grothendieck rings of certain semisimple tensor categories. In this talk I want to give a very explicit description of this ring, together with a combinatorial construction and a description of its spectrum. This will then be connected with the quantum cohomology ring of Grassmannians for which combinatorial constructions are well-known. Our goal is to show that both sides have a nice interpretation in terms of an integrable model. Finally we describe their connection in terms of a ``Boson-Fermion correspondence''.
Salle11 rue Pierre et Marie Curie - 75005 Paris
Adresse
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