Chris Williams

activity

20242026

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4 papers · 1 filter

math.NT2025

P-adic L-functions for GL(3)

David Loeffler, Chris Williams

Let $I^$ be a regular algebraic cuspidal automorphic representation (RACAR) of $GL_{3} (A_{Q})$ . When $I^$ is $p$ -nearly-ordinary for the maximal standard p…

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.NT2025

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 $I ¨ $ is a cuspidal automorphic representation of $GL_{2 n} (A)$ , then $I ¨ $ is a functorial transfer from $GSpin_{2 n + 1}$ i…

math.NT2025

On the GL(2n) eigenvariety: branching laws, Shalika families and $p$ -adic $L$ -functions

Daniel Barrera Salazar, Mladen Dimitrov, Andrew Graham +2

In this paper, we prove that a $GL (2 n)$ -eigenvariety is Ã©tale over the (pure) weight space at non-critical Shalika points, and construct multi-variable $p$ -adic $L$ -funct…

P-adic L-functions for GL(3)

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

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

On the GL(2n) eigenvariety: branching laws, Shalika families and p-adic L-functions

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

On the GL(2n) eigenvariety: branching laws, Shalika families and $p$ -adic $L$ -functions