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.



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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