The geometry of the unipotent component of the moduli space of Weil–Deligne representations
Abstract
We study the moduli space of unipotent Weil-Deligne representations valued in a split reductive group G and characterise which irreducible components are smooth.We apply these smoothness results to show that a certain space of ordinary automorphic forms is a locally generically free module over the corresponding global deformation ring. Ĝ,Omodulo the natural action of Ĝ via conjugation (that is, equivalence of representations):
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Algebra & Number Theory
- Publisher
- Mathematical Sciences Publishers
- Volume
- 20
- Issue
- 6
- Pages
- 1125–1158
- Publication date
- 26 May 2026
- Language
- EN