The base change fundamental lemma for central elements in parahoric Hecke algebras

DOI10.1215/00127094-2009-045zbMath1194.22019arXiv0808.3426OpenAlexW3103648519WikidataQ124820813 ScholiaQ124820813MaRDI QIDQ731748

Thomas J. Haines

Publication date: 8 October 2009

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3426

zbMATH Keywords

base changeHecke algebrafundamental lemmaparahoric

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Related Items (11)

On the p-adic cohomology of the Lubin-Tate tower ⋮ Local models of Shimura varieties and a conjecture of Kottwitz ⋮ Smith theory and cyclic base change functoriality ⋮ Depth-preserving property of the local Langlands correspondence for quasi-split classical groups in large residual characteristic ⋮ Galois representations for general symplectic groups ⋮ The Langlands-Kottwitz approach for some simple Shimura varieties ⋮ Integral models of Shimura varieties with parahoric level structure ⋮ The Satake isomorphism for special maximal parahoric Hecke algebras ⋮ Matching of orbital integrals (transfer) and Roche Hecke algebra isomorphisms ⋮ Nearby cycles of parahoric shtukas, and a fundamental lemma for base change ⋮ An inverse Satake isomorphism in characteristic \(p\)

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