Global Methods in the Langlands Program

Project Information

GMLP

Grant agreement ID: 714405

DOI

10.3030/714405

Project closed

EC signature date 7 October 2016

Start date 1 January 2017

End date 30 June 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 094 610,00

EU contribution

€ 1 094 610,00

Coordinated by

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
United Kingdom

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (12)

Cuspidal cohomology of stacks of shtukas

Author(s): Cong Xue
Published in: Compositio Mathematica, Issue 156/6, 2020, Page(s) 1079-1151, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x20007058

Symmetric power functoriality for holomorphic modular forms, II

Author(s): Newton, James; Thorne, Jack
Published in: Publ. Math. Inst. Hautes Études Sci., Issue 134, 2021, Page(s) 117-152, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.48550/arxiv.2009.07180

RAISING THE LEVEL OF AUTOMORPHIC REPRESENTATIONS OF OF UNITARY TYPE

Author(s): Christos Anastassiades, Jack A. Thorne
Published in: Journal of the Institute of Mathematics of Jussieu, 2021, Page(s) 1-24, ISSN 1474-7480
Publisher: Cambridge University Press
DOI: 10.1017/s1474748020000602

Symmetric power functoriality for holomorphic modular forms

Author(s): Newton, James; Thorne, Jack A.
Published in: Publ. Math. Inst. Hautes Études Sci., Issue 10, 2021, Page(s) 1-116, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-021-00127-3

On central extensions and simply laced Lie algebras

Author(s): Beth Romano
Published in: Journal of Algebra, Issue 568, 2021, Page(s) 480-511, ISSN 0021-8693
Publisher: 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

Author(s): Cong Xue
Published in: Épijournal de Géométrie Algébrique, Issue Volume 4, 2020, ISSN 2491-6765
Publisher: Episciences
DOI: 10.46298/epiga.2020.volume4.5550

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

Author(s): Gebhard Böckle, Michael Harris, Chandrashekhar Khare, Jack A. Thorne
Published in: Acta Mathematica, Issue 223/1, 2019, Page(s) 1-111, ISSN 0001-5962
Publisher: 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

Author(s): Jack A. Thorne
Published in: Documenta Mathematica, 2019, ISSN 1431-0635
Publisher: Deutsche Mathematiker-Vereinigung
DOI: 10.25537/dm.2019v24.1179-1223

Adjoint Selmer groups of automorphic Galois representations of unitary type

Author(s): Thorne, Jack; Newton, James
Published in: Adjoint Selmer groups of automorphic Galois representations of unitary type, 2022, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.48550/arxiv.1912.11265

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

Author(s): Patrick B. Allen, Chandrashekhar B. Khare, Jack A. Thorne
Published in: Proceedings of the National Academy of Sciences, Issue 118/33, 2021, Page(s) e2108064118, ISSN 0027-8424
Publisher: 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

Author(s): Beth Romano; Jack A. Thorne
Published in: Proceedings of the London Mathematical Society, 2020, ISSN 1460-244X
Publisher: LMS/Wiley
DOI: 10.17863/cam.58186

Automorphy lifting for residually reducible -adic Galois representations, II

Author(s): Patrick B. Allen, James Newton, Jack A. Thorne
Published in: Compositio Mathematica, Issue 156/11, 2020, Page(s) 2399-2422, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x20007484

Conference proceedings (1)

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

Author(s): Boyan Sirakov, Paulo Ney de Souza, Marcelo Viana
Published in: Potential automorphy of Ĝ-local systems, Issue 2018, 2018, Page(s) Vol. II, pp. 415--434, ISBN 978-981-327-287-3
Publisher: WORLD SCIENTIFIC
DOI: 10.1142/11060

Book chapters (2)

On subquotients of the etale cohomology of Shimura varieties

Author(s): Johansson, Christian; Thorne, Jack A.
Published in: """Shimura Varieties"" in London Mathematical Society Lecture Note Series", Issue 457, 2020
Publisher: Cambridge University Press

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

Author(s): Ramla Abdellatif, Agnès David, Beth Romano, Hanneke Wiersema
Published in: Women in Numbers Europe III -- Research Directions in Number Theory, 2021, ISBN 978-3-030-77699-2
Publisher: Springer International Publishing