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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.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.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…