p-adic Langlands and the Emerton-Gee stack

Project Information

LEGS

Grant agreement ID: 884596

DOI

10.3030/884596

EC signature date 20 April 2020

Start date 1 October 2020

End date 30 September 2026

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

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

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