Lectures by Joel Kamnitzer . Title : Categorical sl 2 actions in geometric settings and the resulting equivalences

Abstract

One can define an action of sl2 on a category to be a sequence of categories with functors between them satisfying certain relations. Such actions were studied by Chuang-Rouquier in the context of representations of the symmetric group in positive characteristic. They used this action to build an equivalence of categories which settled a case of Broue’s… (More)

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