3 papers
math.RT2025
Representations of -adic groups and orbits with smooth closure in a variety of Langlands parameters
Kristaps Balodis, Clifton Cunningham, Andrew Fiori +1
Let be a reductive -adic group for which the local Langlands correspondence is known, and an infinitesimal parameter of . In this paper, we prove that if the -adic…
math.RT2024
Whittaker normalization of -adic ABV-packets and Vogan's conjecture for tempered representations
Clifton Cunningham, Sarah Dijols, Andrew Fiori +1
We show that ABV-packets for -adic groups do not depend on the choice of a Whittaker datum, but the function from the ABV-packet to representations of the appropriate microlocal…
math.RT2024
Koszul duality for generalised Steinberg representations of -adic groups
Clifton Cunningham, James Steele
Let be a semisimple group, split over a non-Archimedean field . We prove that the category of modules over the extension algebra of generalised Steinberg representations of…