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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.RT2022

Finiteness for Hecke algebras of -adic groups

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

Let be a reductive group over a non-archimedean local field of residue characteristic . We prove that the Hecke algebras of with coefficients in a ${\mathbb Z}_{\…

math.RT2019

A characterization of the relation between two -modular correspondences

Robert Kurinczuk, Nadir Matringe

Let be a non archimedean local field of residual characteristic and a prime number different from . Let denote Vignéras' -modular local Langlan…

math.RT2019

Characterisation of the poles of the -modular Asai -factor

Robert Kurinczuk, Nadir Matringe

Let be a quadratic extension of non-archimedean local fields, and let be a prime number different from the residual characteristic of . For a complex cuspidal repre…