The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties
نویسندگان
چکیده
We study the Jordan-Hölder 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. MSC-Classification: 14M15, 14G35, 20C08
منابع مشابه
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تاریخ انتشار 2004