Chris Williams

activity

20182026

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5 papers · 1 filter

math.NT2026

The non-abelian Leopoldt conjecture and equalities of $L$ -invariants

Daniel Barrera Salazar, Andrew Graham, Chris Williams

Let $G$ be a reductive group quasi-split at $p$ . Using arguments of Hansen--Thorne, we show that under the non-abelian Leopoldt conjecture (NALC), Hansen's $p$ -adic overconvergent…

math.NT2025

Local-global compatibility and the exceptional zero conjecture for GL(3)

Daniel Barrera Salazar, Andrew Graham, Chris Williams

We prove exceptional zero conjectures for $p$ -ordinary regular algebraic cuspidal automorphic representations of $GL_{3} (A)$ which are Steinberg at $p$ . We make no…

math.NT2023

An introduction to $p$ -adic $L$ -functions

Joaquín Rodrigues Jacinto, Chris Williams

These expository notes introduce $p$ -adic $L$ -functions and the foundations of Iwasawa theory. We focus on Kubota--Leopoldt's $p$ -adic analogue of the Riemann zeta function, which…

math.NT2023

On $p$ -refined Friedberg-Jacquet integrals and the classical symplectic locus in the $GL_{2 n}$ eigenvariety

Daniel Barrera Salazar, Andrew Graham, Chris Williams

Friedberg--Jacquet proved that if $π$ is a cuspidal automorphic representation of $GL_{2 n} (A)$ , then $π$ is a functorial transfer from $GSpin_{2 n + 1}$ if…

math.NT2018

P-adic Asai L-functions of Bianchi modular forms

David Loeffler, Chris Williams

The Asai (or twisted tensor) $L$ -function of a Bianchi modular form $Ψ$ is the $L$ -function attached to the tensor induction to $Q$ of its associated Galois representation…

The non-abelian Leopoldt conjecture and equalities of L-invariants

Local-global compatibility and the exceptional zero conjecture for GL(3)

An introduction to p-adic L-functions

On p-refined Friedberg-Jacquet integrals and the classical symplectic locus in the GL2n​ eigenvariety

P-adic Asai L-functions of Bianchi modular forms

The non-abelian Leopoldt conjecture and equalities of $L$ -invariants

An introduction to $p$ -adic $L$ -functions

On $p$ -refined Friedberg-Jacquet integrals and the classical symplectic locus in the $GL_{2 n}$ eigenvariety