Global Methods in the Langlands Program

Cuspidal cohomology of stacks of shtukas

Autori: Cong Xue
Pubblicato in: Compositio Mathematica, Numero 156/6, 2020, Pagina/e 1079-1151, ISSN 0010-437X
Editore: London Mathematical Society
DOI: 10.1112/s0010437x20007058

Symmetric power functoriality for holomorphic modular forms, II

Autori: Newton, James; Thorne, Jack
Pubblicato in: Publ. Math. Inst. Hautes Études Sci., Numero 134, 2021, Pagina/e 117-152, ISSN 0073-8301
Editore: Springer Verlag
DOI: 10.48550/arxiv.2009.07180

RAISING THE LEVEL OF AUTOMORPHIC REPRESENTATIONS OF OF UNITARY TYPE

Autori: Christos Anastassiades, Jack A. Thorne
Pubblicato in: Journal of the Institute of Mathematics of Jussieu, 2021, Pagina/e 1-24, ISSN 1474-7480
Editore: Cambridge University Press
DOI: 10.1017/s1474748020000602

Symmetric power functoriality for holomorphic modular forms

Autori: Newton, James; Thorne, Jack A.
Pubblicato in: Publ. Math. Inst. Hautes Études Sci., Numero 10, 2021, Pagina/e 1-116, ISSN 0073-8301
Editore: Springer Verlag
DOI: 10.1007/s10240-021-00127-3

On central extensions and simply laced Lie algebras

Autori: Beth Romano
Pubblicato in: Journal of Algebra, Numero 568, 2021, Pagina/e 480-511, ISSN 0021-8693
Editore: 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

Autori: Cong Xue
Pubblicato in: Épijournal de Géométrie Algébrique, Numero Volume 4, 2020, ISSN 2491-6765
Editore: Episciences
DOI: 10.46298/epiga.2020.volume4.5550

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

Autori: Gebhard Böckle, Michael Harris, Chandrashekhar Khare, Jack A. Thorne
Pubblicato in: Acta Mathematica, Numero 223/1, 2019, Pagina/e 1-111, ISSN 0001-5962
Editore: 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

Autori: Jack A. Thorne
Pubblicato in: Documenta Mathematica, 2019, ISSN 1431-0635
Editore: Deutsche Mathematiker-Vereinigung
DOI: 10.25537/dm.2019v24.1179-1223

Adjoint Selmer groups of automorphic Galois representations of unitary type

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

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

Autori: Patrick B. Allen, Chandrashekhar B. Khare, Jack A. Thorne
Pubblicato in: Proceedings of the National Academy of Sciences, Numero 118/33, 2021, Pagina/e e2108064118, ISSN 0027-8424
Editore: 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

Autori: Beth Romano; Jack A. Thorne
Pubblicato in: Proceedings of the London Mathematical Society, 2020, ISSN 1460-244X
Editore: LMS/Wiley
DOI: 10.17863/cam.58186

Automorphy lifting for residually reducible -adic Galois representations, II

Autori: Patrick B. Allen, James Newton, Jack A. Thorne
Pubblicato in: Compositio Mathematica, Numero 156/11, 2020, Pagina/e 2399-2422, ISSN 0010-437X
Editore: London Mathematical Society
DOI: 10.1112/s0010437x20007484

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

Autori: Boyan Sirakov, Paulo Ney de Souza, Marcelo Viana
Pubblicato in: Potential automorphy of Ĝ-local systems, Numero 2018, 2018, Pagina/e Vol. II, pp. 415--434, ISBN 978-981-327-287-3
Editore: WORLD SCIENTIFIC
DOI: 10.1142/11060

On subquotients of the etale cohomology of Shimura varieties

Autori: Johansson, Christian; Thorne, Jack A.
Pubblicato in: """Shimura Varieties"" in London Mathematical Society Lecture Note Series", Numero 457, 2020
Editore: Cambridge University Press

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

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

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