Zobrazeno 1 - 10
of 272
pro vyhledávání: '"Newton, James P."'
Autor:
Newton, James
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 explain the construction of eigenvarieties in various different contex
Externí odkaz:
http://arxiv.org/abs/2411.16880
We give a categorical formulation of the $p$-adic local Langlands correspondence for $\mathrm{GL}_2(\mathbb{Q}_p)$,as an embedding of the derived category of locally admissible representations into the category of Ind-coherent sheaves on the moduli s
Externí odkaz:
http://arxiv.org/abs/2403.19565
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 $\pi$ associated to $f$. More precisely, we prove the existence of the base change lifting, with
Externí odkaz:
http://arxiv.org/abs/2312.01774
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 automorphic representations of $\mathrm{GL}_2(\mathbf{A}_F)$ of parallel we
Externí odkaz:
http://arxiv.org/abs/2309.15880
Autor:
Caraiani, Ana, Newton, James
In this paper, we establish the modularity of every elliptic curve $E/F$, where $F$ runs over infinitely many imaginary quadratic fields, including $\mathbb{Q}(\sqrt{-d})$ for $d=1,2,3,5$. More precisely, let $F$ be imaginary quadratic and assume tha
Externí odkaz:
http://arxiv.org/abs/2301.10509
Autor:
Newton, James, Thorne, Jack A.
Let $F$ be a totally real field. We prove the existence of all symmetric power liftings of those cuspidal automorphic representations of $\mathrm{GL}_2(\mathbf{A}_F)$ associated to Hilbert modular forms of regular weight.
Externí odkaz:
http://arxiv.org/abs/2212.03595
Autor:
Newton, James, Thorne, Jack A.
We establish the existence of the symmetric power liftings of all holomorphic Hecke eigenforms.
Comment: Accepted version
Comment: Accepted version
Externí odkaz:
http://arxiv.org/abs/2009.07180
Autor:
Newton, James, Thorne, Jack A.
Let $\rho$ be the $p$-adic Galois representation attached to a cuspidal, regular algebraic automorphic representation of $\mathrm{GL}_n$ of unitary type. Under very mild hypotheses on $\rho$, we prove the vanishing of the (Bloch--Kato) adjoint Selmer
Externí odkaz:
http://arxiv.org/abs/1912.11265
We prove new automorphy lifting theorems for residually reducible Galois representations of unitary type in which the residual representation is permitted to have an arbitrary number of irreducible constituents.
Comment: Accepted version
Comment: Accepted version
Externí odkaz:
http://arxiv.org/abs/1912.11269
Autor:
Newton, James, Thorne, Jack A.
Let $f$ be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting $\mathrm{Sym}^n f$ for every $n \geq 1$. We establish the same result for a more general class of cuspidal Hecke eigenforms, including all those
Externí odkaz:
http://arxiv.org/abs/1912.11261