On parahoric subgroups

Abstract

We prove some basic facts on parahoric subgroups and on Iwahori-Weyl groups.

11 pages. Appendix to the paper "Twisted loop groups and their affine flag varieties", by G. Pappas and M. Rapoport; arXiv:math/0607130

References in corpus (2)

• A guide to the reduction modulo p of Shimura varieties
• Corrigendum: The base change fundamental lemma for central elements in parahoric Hecke algebras

Cited by in corpus (23)

• Towards a theory of local Shimura varieties
• The Newton stratification on deformations of local G-shtukas
• Connected components of affine Deligne-Lusztig varieties in mixed characteristic
• Local models for Weil-restricted groups
• Local P-shtukas and their relation to global G-shtukas
• Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties
• The supersingular locus of unitary Shimura varieties with exotic good reduction
• The Discriminant of an Algebraic Torus
• $P$-alcoves and nonemptiness of affine Deligne-Lusztig varieties
• Local Models For The Moduli Stacks of Global $G$-Shtukas
• Langlands-Rapoport Conjecture Over Function Fields
• Integral models of Shimura varieties with parahoric level structure
• EKOR strata for Shimura varieties with parahoric level structure
• Vertexwise criteria for admissibility of alcoves
• Cohomological representations of parahoric subgroups
• The generic fiber of moduli spaces of bounded local $G$-shtukas
• Geometric Langlands for hypergeometric sheaves
• Rapoport-Zink Spaces For Local P-Shtukas and Their Local Models
• Spectral transfer morphisms for unipotent affine Hecke algebras
• Local models of Shimura varieties and a conjecture of Kottwitz
• Some Motivic Remarks On The Moduli Stacks Of global G-Shtukas And Their Local Models
• Stratifications in the reduction of Shimura varieties
• A building-theoretic approach to relative Tamagawa numbers of quasi-split semisimple groups over global function fields