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p-adic Langlands and the Emerton-Gee stack

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

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

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

Components of moduli stacks of two-dimensional Galois representations (opens in new window)

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 (opens in new window)

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 _{}() (opens in new window)

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 (opens in new window)

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 (opens in new window)

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 (opens in new window)

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

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