activity
20052026
most citedAffine Hecke algebras for Langlands parameters

21 citations · 195 across the 53 of their papers we have counts for

collaborators

60 papers

math.NT2026

A generic categorical local Langlands correspondence for quasi-split reductive groups

David Helm, Maarten Solleveld, Yujie Xu

We prove a categorical local Langlands conjecture for a large class of quasi-split reductive -adic groups , including all quasi-…

math.RT2025

Standard modules and intertwining operators for reductive p-adic groups

Maarten Solleveld

Consider a reductive group G over a non-archimedean local field. The Galois group Gal(C/Q) acts naturally on the category of smooth complex G-representations. We prove that this ac…

math.RT2025

Group algebras of reductive -adic groups, their representations and their noncommutative geometry

Maarten Solleveld

This is a survey paper about representation theory and noncommutative geometry of reductive p-adic groups G. The main focus points are: 1. The structure of the Hecke algebra H(G),…

math.RT2025

Rationality properties of complex representations of reductive p-adic groups

David Kazhdan, Maarten Solleveld, Yakov Varshavsky

For a reductive group G over a non-archimedean local field, we compare smooth representations over C with smooth representations over Qbar (an algebraic closure of Q). We show that…

math.RT2025

Endoscopy for representations of disconnected reductive groups over finite fields

Maarten Solleveld

Let G be the group of rational points of a connected reductive group over a finite field. Based on work of Lusztig and Yun, we make the Jordan decomposition for irreducible G-repre…

math.NT2025

On depth-zero characters of p-adic groups

Maarten Solleveld, Yujie Xu

We show new properties of the Langlands correspondence for arbitrary tori over local fields. Furthermore, we give a detailed analysis of depth-zero characters of reductive p-adic g…