Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group

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dc.creatorBezrukavnikov, Roman
dc.date2002-01-27
dc.date2007-09-04
dc.date.accessioned2026-07-07T08:27:19Z
dc.date.available2026-07-07T08:27:19Z
dc.descriptionIn math.RT/0201073 we constructed an equivalence between the derived category of equivariant coherent sheaves on the cotangent bundle to the flag variety of a simple algebraic group and a (quotient of) the category of constructible sheaves on the affine flag variety of the Langlands dual group. Below we prove certain properties of this equivalence; provide a similar ``Langlands dual'' description for the category of equivariant coherent sheaves on the nilpotent cone; and deduce some conjectures by Lusztig and Ostrik.
dc.descriptionThis is a continuation of math.RT/0201073. 13 pages; some corrections
dc.identifierhttps://arxiv.org/abs/math/0201256
dc.identifierhttp://arxiv.org/abs/math/0201256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137233
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.titlePerverse sheaves on affine flags and nilpotent cone of the Langlands dual group
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