Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\)

From MaRDI portal
Publication:1589733

DOI10.1007/s002290070034zbMath0981.17003OpenAlexW1989451605MaRDI QIDQ1589733

Michael Rapoport, Robert E. Kottwitz

Publication date: 19 August 2001

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290070034




Related Items

HECKE OPERATORS AND THE COHERENT COHOMOLOGY OF SHIMURA VARIETIESOn the flatness of local models for the symplectic group.The combinatorics of Bernstein functionsComputing the alternating trace of Frobenius on the sheaves of nearby cycles on local models for \(\text{GL}_{4}\) and \(\text{GL}_{5}\)Integral models of certain PEL Shimura varieties with \(\Gamma_1(p)\)-type level structureTotal positivity for the Lagrangian GrassmannianStratifying Lie strata of Hilbert modular varietiesLocal models of Shimura varieties and a conjecture of KottwitzIdeal triangles in Euclidean buildings and branching to Levi subgroups.EXTREMAL CASES OF RAPOPORT–ZINK SPACESGelfand-Kirillov dimension and mod \(p\) cohomology for \(\mathrm{GL}_2 \)Topological flatness of local models for ramified unitary groups. I: The odd dimensional caseLocal models for Galois deformation rings and applicationsThe supersingular locus in Siegel modular varieties with Iwahori level structureOn the \(\mu\)-admissible set in the extended affine Weyl groups of \(E_{6}\) and \(E_{7}\)The \(p\)-rank stratification on the Siegel moduli space with Iwahori level structureAdmissibility and permissibility for minuscule cocharacters in orthogonal groupsIrreducibility and \(p\)-adic monodromies on the Siegel moduli spacesSupersingular Kottwitz–Rapoport strata and Deligne–Lusztig varietiesKottwitz's nearby cycles conjecture for a class of unitary Shimura varietiesStratifications in the reduction of Shimura varietiesTopological flatness of local models for ramified unitary groups. II. The even dimensional caseTopological flatness of orthogonal local models in the split, even case. IFully Hodge-Newton decomposable Shimura varietiesLocal models in the ramified case. II: Splitting modelsBounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifoldsProjected Richardson varieties and affine Schubert varietiesOn the connectedness of Deligne-Lusztig varietiesKottwitz-Rapoport and \(p\)-rank strata in the reduction of Shimura varieties of PEL typeEKOR strata for Shimura varieties with parahoric level structureIrreducibility of the Hilbert-Blumenthal moduli spaces with parahoric level structureFormulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra.Topological flatness of local models in the ramified caseAlcoves and \(p\)-rank of abelian varieties