16 papers
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-…
On submodules of standard modules
Maarten Solleveld
Consider a standard representation of a quasi-split reductive p-adic group G. The generalized injectivity conjecture, posed by Casselman and Shahidi, asserts that any gen…
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…
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…
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),…
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…