p-adic Langlands and the Emerton-Gee stack

Project Information

LEGS

Grant agreement ID: 884596

DOI

10.3030/884596

Project closed

EC signature date 20 April 2020

Start date 1 October 2020

End date 30 September 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 195 110,00

EU contribution

€ 2 195 110,00

Coordinated by

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
United Kingdom

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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

Monographic books (1)

Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts

Author(s): Matthew Emerton, Toby Gee
Published in: 2023
Publisher: Princeton University Press
DOI: 10.1515/9780691241364

Peer reviewed articles (6)

Components of moduli stacks of two-dimensional Galois representations

Author(s): Ana Caraiani, Matthew Emerton, Toby Gee, David Savitt
Published in: Forum of Mathematics, Sigma, Issue 12, 2024, ISSN 2050-5094
Publisher: Cambridge University Press (CUP)
DOI: 10.1017/fms.2024.4

Integral p-adic non-abelian Hodge theory for small representations

Author(s): Yu Min, Yupeng Wang
Published in: Advances in Mathematics, Issue 458, 2024, Page(s) 109950, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2024.109950

Cuspidal cohomology classes for _{}()

Author(s): George Boxer, Frank Calegari, Toby Gee
Published in: Journal of the American Mathematical Society, Issue 38, 2025, Page(s) 509-520, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/1050

Congruence modules in higher codimension and zeta lines in Galois cohomology

Author(s): Srikanth B. Iyengar, Chandrashekhar B. Khare, Jeffrey Manning, Eric Urban
Published in: Proceedings of the National Academy of Sciences, Issue 121, 2024, ISSN 0027-8424
Publisher: National Academy of Sciences
DOI: 10.1073/pnas.2320608121

The geometric Breuil–Mézard conjecture fortwo-dimensional potentially Barsotti–Tate Galois representations

Author(s): Ana Caraiani, Matthew Emerton, Toby Gee, David Savitt
Published in: Algebra & Number Theory, Issue 19, 2025, Page(s) 287-312, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/ant.2025.19.287

The Ramanujan and Sato–Tate Conjectures for Bianchi modular forms

Author(s): George Boxer, Frank Calegari, Toby Gee, James Newton, Jack A. Thorne
Published in: Forum of Mathematics, Pi, Issue 13, 2025, ISSN 2050-5086
Publisher: Cambridge University Press (CUP)
DOI: 10.1017/fmp.2024.29