P-adic Arithmetic Geometry, Torsion Classes, and Modularity

Project Information

PariTorMod

Grant agreement ID: 804176

DOI 10.3030/804176

EC signature date 13 September 2018

Start date 1 January 2019

End date 30 September 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

Publications

Peer reviewed articles (9)

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

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

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

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