On local Galois deformation rings: generalised tori

Abstract

We study deformation theory of mod $p$ Galois representations of $p$-adic fields with values in generalised tori, such as $L$-groups of (possibly non-split) tori. We show that the corresponding deformation rings are formally smooth over a group algebra of a finite abelian $p$-group. We compute their dimension and the set of irreducible components.

v2: minor changes after a referee report

References in corpus (3)

• Comparison of different definitions of pseudocharacters
• Deformations of $G$-valued pseudocharacters
• On local Galois deformation rings: generalised reductive groups