Homology of affine Springer fibers in the unramified case

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dc.creatorGoresky, Mark
dc.creatorKottwitz, Robert
dc.creatorMacPherson, Robert
dc.date2003-05-09
dc.date.accessioned2026-07-07T04:57:53Z
dc.date.available2026-07-07T04:57:53Z
dc.descriptionAssuming a certain "purity" conjecture, we derive a formula for the (complex) cohomology groups of the affine Springer fiber corresponding to any unramified regular semi-simple element. We use this calculation to present a complex analog of the fundamental lemma for function fields. We show that the "kappa" orbital integral which arises in the fundamental lemma is equal to the Lefschetz trace of Frobenius acting on the etale cohomology of a related variety.
dc.identifierhttps://arxiv.org/abs/math/0305144
dc.identifierhttp://arxiv.org/abs/math/0305144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67418
dc.subjectRepresentation Theory
dc.subject22E67,55N91
dc.titleHomology of affine Springer fibers in the unramified case
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