Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups

2016/04/14 by Ahmed Moussaoui, Moussaoui, Ahmed
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1604.04238

arxiv created 2016/04/14 · openalex publication_date 2016/04/14 · arxiv updated 2016/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the Aubert-Baum-Plymen-Solleveld conjecture for the split classical groups and establish the connection with the Langlands correspondence. To do this, we review the notion of cuspidality for enhanced Langlands parameters and also review the notion of cuspidal support for enhanced Langlands parameters for split classical groups, both introduced by the author in earlier work.

Citations

• The stable Bernstein center and test functions for Shimura varieties

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