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The Jordan-Hoelder series for nearby cycles on some Shimura varieties and affine flag varieties | | Ulrich Goertz
; Thomas J. Haines
; | | Date: |
9 Feb 2004 | | Subject: | Algebraic Geometry; Representation Theory MSC-class: 14M15, 14G35, 20C08 | math.AG math.RT | | Abstract: | We 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. | | Source: | arXiv, math.AG/0402143 | | Services: | Forum | Review | PDF | Favorites | |
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