P-adic Arithmetic Geometry, Torsion Classes, and Modularity

Project Information

PariTorMod

Grant agreement ID: 804176

DOI

10.3030/804176

Project closed

EC signature date 13 September 2018

Start date 1 January 2019

End date 31 October 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 469 805,00

EU contribution

€ 1 469 805,00

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

Peer reviewed articles (14)

On the étale cohomology of Hilbert modular varieties with torsion coefficients

Author(s): Ana Caraiani; Matteo Tamiozzo
Published in: Compositio Mathematica, Issue 159 (11), 2023, Page(s) 2279-2325, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x23007431

Vanishing theorems for Shimura varieties at unipotent level

Author(s): Ana Caraiani, Daniel R. Gulotta, Christian Johansson
Published in: Journal of the European Mathematical Society, 2022, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1195

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

Tubular neighborhoods of local models

Author(s): Ian Gleason, João Lourenço
Published in: Duke Mathematical Journal, Issue 173, 2024, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2023-0028

On the generic part of the cohomology of non-compact unitary Shimura varieties

Author(s): Ana Caraiani, Peter Scholze
Published in: Annals of Mathematics, Issue 199, 2024, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2024.199.2.1

Special curves in modular surfaces

Author(s): Matteo Tamiozzo
Published in: Canadian Mathematical Bulletin, 2021, ISSN 0008-4395
Publisher: Canadian Mathematical Society
DOI: 10.4153/s0008439521000941

Grassmanniennes affines tordues sur les entiers

Author(s): João Lourenço
Published in: Forum of Mathematics, Sigma, Issue 11, 2023, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2023.4

Stabilizers of irreducible components of affine Deligne–Lusztig varieties

Author(s): Xuhua He, Rong Zhou, Yihang Zhu
Published in: Journal of the European Mathematical Society, 2024, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1414

On the Bloch-Kato conjecture for Hilbert modular forms

Author(s): Matteo Tamiozzo
Published in: Mathematische Zeitschrift, 2021, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-020-02689-0

The tame Hilbert symbol via K-theory and central extensions

Author(s): Matteo Tamiozzo
Published in: Journal of Number Theory, Issue 242, 2023, Page(s) 603-625, ISSN 0022-314X
Publisher: Academic Press
DOI: 10.1016/j.jnt.2022.05.003

Shimura varieties at level and Galois representations

Author(s): Ana Caraiani, Daniel R. Gulotta, Chi-Yun Hsu, Christian Johansson, Lucia Mocz, Emanuel Reinecke, Sheng-Chi Shih
Published in: Compositio Mathematica, Issue 156/6, 2020, Page(s) 1152-1230, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x20007149

Morphismes de périodes et cohomologie syntomique

Author(s): Sally Gilles
Published in: Algebra and Number Theory, Issue 17 (3), 2023, Page(s) 603-666, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/ant.2023.17.603

Potential automorphy over CM fields

Author(s): Patrick Allen; Frank Calegari; Ana Caraiani; Toby Gee; David Helm; Bao Le Hung; James Newton; Peter Scholze; Richard Taylor; Jack Thorne
Published in: Annals of Mathematics (2), Issue 197(3), 2023, Page(s) 897-1113, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2023.197.3.2

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
DOI: 10.1017/fms.2024.4

Conference proceedings (1)

The cohomology of Shimura varieties with torsion coefficients

Author(s): Ana Caraiani
Published in: International Congress of Mathematicians 2022, July 6-14, Issue Vol III, 2023
Publisher: EMS Press
DOI: 10.4171/icm2022/161