Application de Hodge-Tate duale d'un groupe de Lubin-Tate, immeuble de Bruhat-Tits du groupe lineaire et filtrations de ramification

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dc.creatorFargues, Laurent
dc.date2006-04-11
dc.date.accessioned2026-07-07T07:10:46Z
dc.date.available2026-07-07T07:10:46Z
dc.descriptionOne of the goals of this article is to describe the isomorphism between Lubin-Tate and Drinfeld towers at the level of their skeletons after taking quotient by $\GL_n (Ø_F)\times Ø_D^\times$ or $I\timesØ_D^\times$ where $Ø_D$ is the maximal order in the division algebra with invariant $\frac{1}{n}$ over $F$ and $I$ a Iwahori subgroup of $\GL_n$. We give applications to the theory of canonical subgroups on Lubin-Tate spaces, the description of spherical Hecke orbits in those spaces, fundamental domains for Hecke correspondences and the Gross-Hopkins period mapping. We also study in details the ramification filtrations (upper and lower) and the Hodge-Tate map of a one dimensional formal $p$-divisible group.
dc.description58 pages
dc.identifierhttps://arxiv.org/abs/math/0604252
dc.identifierhttp://arxiv.org/abs/math/0604252
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111526
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14Gxx
dc.titleApplication de Hodge-Tate duale d'un groupe de Lubin-Tate, immeuble de Bruhat-Tits du groupe lineaire et filtrations de ramification
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