P. Latham

activity

20162021

collaborators

5 papers

math.RT2021

Restricting admissible representations to fixed-point subgroups

Peter Latham, Monica Nevins

Given a $p$ -adic group $G$ equipped with an action of a finite group $Γ \subset Aut_{F} (G)$ , and a reductive fixed-point subgroup $G^{Γ}$ , we establish a relationship b…

math.RT2021

Typical representations, parabolic induction and the inertial local Langlands correspondence

Peter Latham

We prove a result which provides a link between the decomposition of parabolically induced representations and the Bushnell--Kutzko theory of typical representations. As an applica…

math.RT2019

Typical representations via fixed point sets in Bruhat--Tits buildings

Peter Latham, Monica Nevins

For an essentially tame supercuspidal representation $π$ of a connected reductive $p$ -adic group $G$ , we establish two distinct and complementary sufficient conditions for the irre…

math.RT2018

On the unicity of types for tame toral supercuspidal representations

Peter Latham, Monica Nevins

For tame arbitrary-length toral, also called positive regular, supercuspidal representations of a simply connected and semisimple $p$ -adic group $G$ , constructed as per Adler-Yu, w…

math.RT2016

The unicity of types for depth-zero supercuspidal representations

Peter Latham

We establish the unicity of types for depth-zero supercuspidal representations of an arbitrary $p$ -adic group $G$ , showing that each depth-zero supercuspidal representation of $G$ …