Stephen DeBacker

activity

20232025

collaborators

4 papers

math.NT2025

Normalized Indexing for Ramification Subgroups

Stephen DeBacker, David Schwein, Cheng-Chiang Tsai

This expository note introduces a normalization of the indexing of the lower and upper numbering ramification subgroups of local class field theory. We then look at how this normal…

math.RT2025

Langlands parameters for Moy-Prasad types

Tsao-Hsien Chen, Stephen DeBacker, Cheng-Chiang Tsai

Suppose $G$ is a tamely ramified $p$ -adic reductive group. We construct a partial local Langlands correspondence between the set of irreducible smooth representations of $G$ having…

math.RT2024

Kac Diagrams for Elliptic Weyl Group Elements

Stephen DeBacker, Jacob Haley

Suppose $g$ is a semisimple complex Lie algebra and $h$ is a Cartan subalgebra of $g$ . To the pair $(g, h)$ one can associate…

math.RT2023

Totally Ramified Maximal Tori and Bruhat-Tits theory

Stephen DeBacker

Suppose $k$ is a nonarchimedean local field, $K$ is a maximally unramified extension of $k$ , and $G$ is a connected reductive $k$ -group. If $T$ is a $K$ -minisotro…