activity
20182026
most citedTame tori in p-adic groups and good semisimple elements

4 citations · 6 across the 10 of their papers we have counts for

collaborators

12 papers

math.RT2026

Parametrization and reduction to depth zero of -blocks of tame -adic groups

Jean-François Dat, Jessica Fintzen

Let be a reductive group over a non-archimedean local field of residue characteristic . We consider pairs consisting of a "wild inertia" Langlands parameter $ϕ:…

math.RT2025

Supercuspidal representations: construction, classification, and characters

Jessica Fintzen

The building blocks for irreducible smooth representations of p-adic groups are the supercuspidal representations. In these notes that are an expansion of a lecture series given du…

math.RT2025

An introduction to representations of p-adic groups

Jessica Fintzen

An explicit understanding of the (category of all smooth, complex) representations of p-adic groups provides an important tool not just within representation theory. It also has ap…

math.RT2025

A depth-zero principal-series block whose Hecke algebra has a non-trivial two-cocycle

Jeffrey D. Adler, Jessica Fintzen, Kazuma Ohara

Recently the authors have shown that every Hecke algebra associated to a type constructed by Kim and Yu is isomorphic to a Hecke algebra for a depth-zero type. An example in the li…

math.RT2025

Construction of tame supercuspidal representations in arbitrary residue characteristic

Jessica Fintzen, David Schwein

Let F be a nonarchimedean local field whose residue field has at least four elements. Let G be a connected reductive group over F that splits over a tamely ramified field extension…

math.RT2024

Reduction to depth zero for tame p-adic groups via Hecke algebra isomorphisms

Jeffrey D. Adler, Jessica Fintzen, Manish Mishra +1

Let be a nonarchimedean local field of residual characteristic . Let denote a connected reductive group over that splits over a tamely ramified extension of . Let…