On depth-zero characters of $p$-adic groups
Abstract
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 groups, for groups that may be wildly ramified. We present several different definitions of “depth-zero” for characters, and show that these notions are in fact equivalent. These results are useful for proving new cases of local Langlands correspondences, in particular for depth-zero representations.
Fields of Study & Subjects
advanced mathematical theories
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Mathematical Research Letters
- Publisher
- International Press of Boston
- Volume
- 33
- Issue
- 2
- Pages
- 451–470
- Publication date
- 1 January 2026
- Language
- EN