Andrew Fiori

collaborators

4 papers

math.RT2025

Representations of $p$ -adic groups and orbits with smooth closure in a variety of Langlands parameters

Kristaps Balodis, Clifton Cunningham, Andrew Fiori +1

Let $G$ be a reductive $p$ -adic group for which the local Langlands correspondence is known, and $λ$ an infinitesimal parameter of $G$ . In this paper, we prove that if the $p$ -adic…

math.NT2025

The moduli space of representations of the modular group into $G_{2}$

Angelica Babei, Andrew Fiori, Cameron Franc

In this paper we construct a large four-dimensional family of representations of the modular group into $G_{2}$ . Precisely, this family is an etale cover of degree $96$ of an open su…

math.RT2024

Whittaker normalization of $p$ -adic ABV-packets and Vogan's conjecture for tempered representations

Clifton Cunningham, Sarah Dijols, Andrew Fiori +1

We show that ABV-packets for $p$ -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

Generic representations, open parameters and ABV-packets for $p$ -adic groups

Clifton Cunningham, Sarah Dijols, Andrew Fiori +1

If $π$ is a representation of a $p$ -adic group $G (F)$ , and $ϕ$ is its Langlands parameter, can we use the moduli space of Langlands parameters to find a geometric property of $ϕ$ t…

Representations of p-adic groups and orbits with smooth closure in a variety of Langlands parameters

The moduli space of representations of the modular group into G2​

Whittaker normalization of p-adic ABV-packets and Vogan's conjecture for tempered representations

Generic representations, open parameters and ABV-packets for p-adic groups

Representations of $p$ -adic groups and orbits with smooth closure in a variety of Langlands parameters

The moduli space of representations of the modular group into $G_{2}$

Whittaker normalization of $p$ -adic ABV-packets and Vogan's conjecture for tempered representations

Generic representations, open parameters and ABV-packets for $p$ -adic groups