Staggered sheaves

1 hour 1 min 30 secs,  382.48 MB,  QuickTime  384x288,  25.0 fps,  44100 Hz,  849.13 kbits/sec
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Description: Achar, P (Louisiana State)
Monday 22 June 2009, 14:00-15:00
 
Created: 2011-05-31 14:05
Collection: Algebraic Lie Theory
Publisher: Isaac Newton Institute
Copyright: Achar, P
Language: eng (English)
Distribution: World     (downloadable)
Credits:
Author:  Achar, P
Producer:  Steve Greenham
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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