Global Methods in the Langlands Program

Cuspidal cohomology of stacks of shtukas

Autores: Cong Xue
Publicado en: Compositio Mathematica, Edición 156/6, 2020, Página(s) 1079-1151, ISSN 0010-437X
Editor: London Mathematical Society
DOI: 10.1112/s0010437x20007058

Symmetric power functoriality for holomorphic modular forms, II

Autores: Newton, James; Thorne, Jack
Publicado en: Publ. Math. Inst. Hautes Études Sci., Edición 134, 2021, Página(s) 117-152, ISSN 0073-8301
Editor: Springer Verlag
DOI: 10.48550/arxiv.2009.07180

RAISING THE LEVEL OF AUTOMORPHIC REPRESENTATIONS OF OF UNITARY TYPE

Autores: Christos Anastassiades, Jack A. Thorne
Publicado en: Journal of the Institute of Mathematics of Jussieu, 2021, Página(s) 1-24, ISSN 1474-7480
Editor: Cambridge University Press
DOI: 10.1017/s1474748020000602

Symmetric power functoriality for holomorphic modular forms

Autores: Newton, James; Thorne, Jack A.
Publicado en: Publ. Math. Inst. Hautes Études Sci., Edición 10, 2021, Página(s) 1-116, ISSN 0073-8301
Editor: Springer Verlag
DOI: 10.1007/s10240-021-00127-3

On central extensions and simply laced Lie algebras

Autores: Beth Romano
Publicado en: Journal of Algebra, Edición 568, 2021, Página(s) 480-511, ISSN 0021-8693
Editor: Academic Press
DOI: 10.1016/j.jalgebra.2020.09.046

Finiteness of cohomology groups of stacks of shtukas as modules over Hecke algebras, and applications

Autores: Cong Xue
Publicado en: Épijournal de Géométrie Algébrique, Edición Volume 4, 2020, ISSN 2491-6765
Editor: Episciences
DOI: 10.46298/epiga.2020.volume4.5550

$\hat{G}$-local systems on smooth projective curves are potentially automorphic

Autores: Gebhard Böckle, Michael Harris, Chandrashekhar Khare, Jack A. Thorne
Publicado en: Acta Mathematica, Edición 223/1, 2019, Página(s) 1-111, ISSN 0001-5962
Editor: Royal Swedish Academy of Sciences
DOI: 10.4310/acta.2019.v223.n1.a1

On the average number of 2-Selmer elements of elliptic curves over F_q(X) with two marked points

Autores: Jack A. Thorne
Publicado en: Documenta Mathematica, 2019, ISSN 1431-0635
Editor: Deutsche Mathematiker-Vereinigung
DOI: 10.25537/dm.2019v24.1179-1223

Adjoint Selmer groups of automorphic Galois representations of unitary type

Autores: Thorne, Jack; Newton, James
Publicado en: Adjoint Selmer groups of automorphic Galois representations of unitary type, 2022, ISSN 1435-9855
Editor: European Mathematical Society Publishing House
DOI: 10.48550/arxiv.1912.11265

Modularity of PGL 2 ( p )-representations over totally real fields

Autores: Patrick B. Allen, Chandrashekhar B. Khare, Jack A. Thorne
Publicado en: Proceedings of the National Academy of Sciences, Edición 118/33, 2021, Página(s) e2108064118, ISSN 0027-8424
Editor: National Academy of Sciences
DOI: 10.1073/pnas.2108064118

E8 and the average size of the 3‐Selmer group of the Jacobian of a pointed genus‐2 curve

Autores: Beth Romano; Jack A. Thorne
Publicado en: Proceedings of the London Mathematical Society, 2020, ISSN 1460-244X
Editor: LMS/Wiley
DOI: 10.17863/cam.58186

Automorphy lifting for residually reducible -adic Galois representations, II

Autores: Patrick B. Allen, James Newton, Jack A. Thorne
Publicado en: Compositio Mathematica, Edición 156/11, 2020, Página(s) 2399-2422, ISSN 0010-437X
Editor: London Mathematical Society
DOI: 10.1112/s0010437x20007484

Proceedings of the International Congress of Mathematicians 2018 (ICM 2018)

Autores: Boyan Sirakov, Paulo Ney de Souza, Marcelo Viana
Publicado en: Potential automorphy of Ĝ-local systems, Edición 2018, 2018, Página(s) Vol. II, pp. 415--434, ISBN 978-981-327-287-3
Editor: WORLD SCIENTIFIC
DOI: 10.1142/11060

On subquotients of the etale cohomology of Shimura varieties

Autores: Johansson, Christian; Thorne, Jack A.
Publicado en: """Shimura Varieties"" in London Mathematical Society Lecture Note Series", Edición 457, 2020
Editor: Cambridge University Press

From p-modular to p-adic Langlands correspondences for U(1,1)(ℚp2/ℚp): deformations in the non-supercuspidal case

Autores: Ramla Abdellatif, Agnès David, Beth Romano, Hanneke Wiersema
Publicado en: Women in Numbers Europe III -- Research Directions in Number Theory, 2021, ISBN 978-3-030-77699-2
Editor: Springer International Publishing

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