On a conjecture of Kottwitz and Rapoport

2008/05/29 by Qëndrim R. Gashi, Gashi, Qëndrim R. · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.0805.4575

Added quasi-split case; simplified proof of split case

openalex publication_date 2008/05/29 · arxiv created 2009/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a conjecture of Kottwitz and Rapoport which implies a converse to Mazur's Inequality for all split and quasi-split (connected) reductive groups. These results are related to the non-emptiness of certain affine Deligne-Lusztig varieties.

Citations

• The Partial Order of Dominant Weights

Cited by

• Finiteness of function field-valued points on exceptional Shimura varieties

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