A modular ramified geometric Satake equivalence

2024/03/15 by Pramod N. Achar, João Lourenço, Achar, Pramod N. +5 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2403.10651

openalex publication_date 2024/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We extend the ramified geometric Satake equivalence due to Zhu (for tamely ramified groups) and the third named author (in full generality) from rational coefficients to include modular and integral coefficients.

Cited by

• Normality of Schubert varieties in affine Grassmannians II: The tamely ramified case

Related

• Affine Grassmannians and Geometric Satake Equivalences
• Some applications of the geometric Satake equivalence to modular representation theory
• The integral motivic Satake equivalence for ramified groups
• The Geometric Satake Correspondence for Ramified Groups
• Notes on the geometric Satake equivalence