Some aspects of the geometric structure of the smooth dual of $p$-adic reductive groups

Volume 120 / 2020

Anne-Marie Aubert Banach Center Publications 120 (2020), 135-150 MSC: Primary 20C08; Secondary 14F43, 20G20. DOI: 10.4064/bc120-10

Abstract

We review the ABPS Conjecture in the case of a split $p$-adic reductive group $G$, its links with the Langlands correspondence for $G$, and how it can be used in order to provide a conjectural description for $K_*(C^*_{\rm red}(G))$.

Authors

  • Anne-Marie AubertCNRS, Sorbonne Université
    Université de Paris
    Institut de Mathématiques de Jussieu – Paris Rive Gauche
    F-75005 Paris, France
    ORCID: 0000-0002-9613-9140
    e-mail

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