activity
20242026
collaborators

6 papers

math.RT2026

Cuspidal -modular representations of distinguished by a Galois involution, II

Robert Kurinczuk, Nadir Matringe, Vincent Sécherre

Let be a quadratic extension of non-Archimedean locally compact fields with residual characteristic , and be a prime number different from . We classify t…

math.RT2026

Cuspidal endo-support and strong beta extensions

David Helm, Robert Kurinczuk, Daniel Skodlerack +1

Let be an inner form of a general linear group or classical group over a non-archimedean local field of residual characteristic , assumed odd in the classical case. We prove…

math.RT2026

Godement-Jacquet gamma factors of distinguished representations of

Robert Kurinczuk, Nadir Matringe, Vincent Sécherre

Let be a finite field of characteristic . In the 1960s, Kondo attached non-abelian Gauss sums to irreducible -representations of , and computed…

math.RT2026

Block decompositions for -adic classical groups and their inner forms

David Helm, Robert Kurinczuk, Daniel Skodlerack +1

For an inner form of a general linear group or classical group over a non-archimedean local field of odd residue characteristic, we decompose the category of smooth re…

math.NT2025

Newforms in Cuspidal Representations

Johannes Girsch, Robert Kurinczuk

We consider newform vectors in cuspidal representations of -adic general linear groups. We extend the theory from the complex setting to include~-modular representations w…

math.RT2024

Local Langlands in families: The banal case

Jean-François Dat, David Helm, Robert Kurinczuk +1

We state a conjecture, local Langlands in families, connecting the centre of the category of smooth representations on -modules of a quasi-split -adic…