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VIDEO LIBRARY |
International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
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Demazure Descent Data and Braid group actions on categories S. M. Arkhipov |
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Abstract: We recall the classical notion of Demazure operators acting on the Then we propose a categorification of the algebra generated by Demazure operators and introduce the notion of Demazure Descent Data (DDD) on a category. We define the descent category for a DDD on a triangulated category We explain how DDD arises naturally from a monoidal action of the tensor category of quasicoherent sheaves on Next we replace the category of quasicoherent sheaves by DG-modules over the algebra of differential forms on Language: English |