Comparaison de la cohomologie des tours de Lubin-Tate et de Drinfeld et correspondance de Jacquet-Langlands geometrique

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dc.creatorFargues, Laurent
dc.date2006-05-26
dc.date.accessioned2026-07-07T07:14:32Z
dc.date.available2026-07-07T07:14:32Z
dc.descriptionThis article is the last one about the isomorphism between Lubin-Tate and Drinfeld towers. We prove the existence of an isomorphism between the compactly supported etale cohomology of the Lubin-Tate and Drinfeld towers, and more generally their equivariant cohomology complex. We also prove the existence of a geometric local Jacquet-Langlands correspondence between some equivariant rigid etale sheaves on Gross-Hopkins period space $\mathbb{P}^{n-1}$ and Drinfeld one $Ω$.
dc.description72 pages
dc.identifierhttps://arxiv.org/abs/math/0605683
dc.identifierhttp://arxiv.org/abs/math/0605683
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112915
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14Gxx
dc.titleComparaison de la cohomologie des tours de Lubin-Tate et de Drinfeld et correspondance de Jacquet-Langlands geometrique
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