Abstract Christos Aravanis

Title: Hopf algebras, Hopf monads and derived categories of sheaves

 Abstract: The notion of a  Hopf monad on a monoidal category consists of a generalisation of the notion of a Hopf algebra in a braided  monoidal category to a non braided setup. In this talk, we will introduce the notion of a Hopf monad on a monoidal category, after Brugières, Lack and Virelizier. Then, we will discuss the construction of a Hopf monad on a category of orbits of the bounded derived category of coherent  sheaves on a smooth complex projective variety and we will explain how this Hopf monad determines the Hopf algebra object in this category.

 

References.

Brugières, Lack and  Virelizier,  Hopf monads on monoidal categories arXiv:1003.1920

Caldararu,  Derived categories of sheaves: a skimming, arXiv:math/0501094

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