Staggered sheaves
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Description: |
Achar, P (Louisiana State)
Monday 22 June 2009, 14:00-15:00 |
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Created: | 2011-05-31 14:05 | ||||
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Collection: | Algebraic Lie Theory | ||||
Publisher: | Isaac Newton Institute | ||||
Copyright: | Achar, P | ||||
Language: | eng (English) | ||||
Distribution: | World (downloadable) | ||||
Credits: |
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Explicit content: | No | ||||
Aspect Ratio: | 4:3 | ||||
Screencast: | No | ||||
Bumper: | UCS Default | ||||
Trailer: | UCS Default |
Abstract: | Let X be a variety endowed with an action of an algebraic group G acting with finitely many orbits. "Staggered sheaves" are certain complexes of G-equivariant coherent sheaves on X, generalizing the "perverse coherent sheaves" of Deligne and Bezrukavnikov. They form an abelian category that has many remarkable algebraic properties resembling those of l-adic perverse sheaves. In particular, this category is quasi-hereditary and admits a mixed structure. If time permits, I will describe some small examples. Some of these results are joint work with David Treumann. |
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