Fibration de Hitchin et endoscopie

dc.creatorChau, Ngo Bao
dc.date2004-06-29
dc.date2006-09-08
dc.date.accessioned2026-07-07T06:36:54Z
dc.date.available2026-07-07T06:36:54Z
dc.descriptionWe propose a geometric interpretation of the theory of elliptic endoscopy, due to Langlands and Kottwitz, in terms of the Hitchin fibration. As applications, we prove a global analog of a purity conjecture, due to Goresky, Kottwitz and MacPherson. For unitary groups, this global purity statement has been used, in a joint work with G. Laumon, to prove the fundamental lemma over local fields of equal characteristics.
dc.descriptionpublished version, Latex file
dc.identifierhttps://arxiv.org/abs/math/0406599
dc.identifierhttp://arxiv.org/abs/math/0406599
dc.identifierInvent. Math. 164 (2006), no. 2, 399--453
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100240
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14H60, 22E35 (Primary) 14F20 (Secondary)
dc.titleFibration de Hitchin et endoscopie
dc.typetext

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