James Newton

collaborators

4 papers

math.NT2024

Construction of eigenvarieties

James Newton

These are notes based on four lectures given at the Heidelberg spring school on non-archimedean geometry and eigenvarieties. None of the contents are original work. Our goal is to…

math.NT2024

Moduli stacks of Galois representations and the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$

Christian Johansson, James Newton, Carl Wang-Erickson

We give a categorical formulation of the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$ ,as an embedding of the derived category of locally admissible rep…

math.NT2023

Non-abelian base change for symmetric power liftings of holomorphic modular forms

Laurent Clozel, James Newton, Jack A. Thorne

Let $f$ be a non-CM Hecke eigenform of weight $k \geq 2$ . We give a new proof of some cases of Langlands functoriality for the automorphic representation $π$ associated to $f$ . Mor…

math.NT2023

The Ramanujan and Sato-Tate Conjectures for Bianchi modular forms

George Boxer, Frank Calegari, Toby Gee +2

We prove the Ramanujan and Sato-Tate conjectures for Bianchi modular forms of weight at least 2. More generally, we prove these conjectures for all regular algebraic cuspidal autom…

Construction of eigenvarieties

Moduli stacks of Galois representations and the p-adic local Langlands correspondence for GL2​(Qp​)

Non-abelian base change for symmetric power liftings of holomorphic modular forms

The Ramanujan and Sato-Tate Conjectures for Bianchi modular forms

Moduli stacks of Galois representations and the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$