David Marcil

collaborators

4 papers

math.NT2024

$p$ -adic $L$ -functions for $P$ -ordinary Hida families on unitary groups

David Marcil

We construct a $p$ -adic $L$ -function for $P$ -ordinary Hida families of cuspidal automorphic representations on a unitary group $G$ . The main new idea of our work is to incorporate…

math.NT2024

Constructing vector-valued automorphic forms on unitary groups

Thomas L. Browning, Pavel Čoupek, Ellen Eischen +4

We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy emp…

math.NT2023

$p$ -adic zeta integrals on unitary groups via Bushnell-Kutzko types

David Marcil

In this paper, we compute certain $p$ -adic zeta integrals appearing in the doubling method of Garrett and Piatetski-Shapiro-Rallis for unitary groups. Using structure theorems in t…

math.NT2023

Bushnell-Kutzko types for $P$ -ordinary automorphic representations on unitary groups

David Marcil

This paper generalizes a theorem of Hida on the structure of ordinary representations on unitary groups to $P$ -ordinary representations, where $P$ is a general parabolic subgroup o…

p-adic L-functions for P-ordinary Hida families on unitary groups

Constructing vector-valued automorphic forms on unitary groups

p-adic zeta integrals on unitary groups via Bushnell-Kutzko types

Bushnell-Kutzko types for P-ordinary automorphic representations on unitary groups

$p$ -adic $L$ -functions for $P$ -ordinary Hida families on unitary groups

$p$ -adic zeta integrals on unitary groups via Bushnell-Kutzko types

Bushnell-Kutzko types for $P$ -ordinary automorphic representations on unitary groups