Stephen DeBacker

collaborators

3 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.RT2017

A spectral decomposition of orbital integrals for $P G L (2, F)$

David Kazhdan, Stephen DeBacker

Let $F$ be a local non-archimedian field, $G$ a semisimple $F$ -group, $d g$ a Haar measure on $G$ and $S (G)$ be the space of locally constant complex valued functions $f$ o…

Normalized Indexing for Ramification Subgroups

Langlands parameters for Moy-Prasad types

A spectral decomposition of orbital integrals for PGL(2,F)

A spectral decomposition of orbital integrals for $P G L (2, F)$