Local Langlands and Springer Correspondences

Anne-Marie Aubert (1)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

This notes are the written version of a course given by the author at the workshop "Representation theory of p-adic groups" that was held at IISER Pune, India, in July 2017 (to appear in Representations of p-adic groups: Contributions from Pune, Progress in Math., Birkhäuser). They give notably an overview of results obtained jointly with Ahmed Moussaoui and Maarten Solleveld on the local Langlands correspondence, focusing on the links of the latter with both the generalized Springer correspondence and the geometric conjecture, the so-called ABPS Conjecture, introduced in collaboration with Paul Baum, Roger Plymen and Maarten Solleveld.

Domaines: Mathématiques [math]; Théorie des représentations [math.RT]; Théorie des nombres [math.NT]

Anne-Marie Aubert. Local Langlands and Springer Correspondences. Representations of Reductive p-adic Groups, Birkhäuser, pp.1-37, 2019, ⟨10.1007/978-981-13-6628-4_1⟩. ⟨hal-02343557⟩