The Jordan-Hoelder series for nearby cycles on some Shimura varieties and affine flag varieties

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dc.creatorGoertz, Ulrich
dc.creatorHaines, Thomas J.
dc.date2004-02-09
dc.date.accessioned2026-07-07T05:05:17Z
dc.date.available2026-07-07T05:05:17Z
dc.descriptionWe study the Jordan-Hoelder series for nearby cycles on certain Shimura varieties and Rapoport-Zink local models, and on finite-dimensional pieces of Beilinson's deformation of the affine Grassmannian to the affine flag variety (and their p-adic analogues). We give a formula for the multiplicities of irreducible constituents in terms of certain cohomology groups, and we also provide an algorithm to compute multiplicities, in terms of the affine Hecke algebra.
dc.description71 pp
dc.identifierhttps://arxiv.org/abs/math/0402143
dc.identifierhttp://arxiv.org/abs/math/0402143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70111
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14M15, 14G35, 20C08
dc.titleThe Jordan-Hoelder series for nearby cycles on some Shimura varieties and affine flag varieties
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