Galois representations and torsion in the coherent cohomology of Hilbert modular varieties
-
Matthew Emerton
,
Davide A. Reduzzi
Abstract
Let F be a totally real number field and let p be a prime unramified in
F. We prove the existence of Galois pseudo-representations attached to
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-100239
Award Identifier / Grant number: DMS-1249548
Award Identifier / Grant number: DMS-1303450
Funding source: Simons Foundation
Award Identifier / Grant number: 278433
Funding statement: The first author was supported in part by NSF grants DMS-100239, DMS-1249548, and DMS-1303450. The third author is partially supported by a grant from the Simons Foundation #278433.
Acknowledgements
We would especially like to thank Frank Calegari and David Geraghty for their interest in and comments on the results of this paper, which originated from their [‘Modularity lifting beyond the Taylor–Wiles method’, preprint 2012, Conjecture A]. We are also grateful to Don Blasius, Chandrashekhar Khare, Kai-Wen Lan, Yichao Tian, and Xinyi Yuan for helpful conversations. We would like to thank Kai-Wen Lan for making available to us a result of [‘Compactifications of PEL-type Shimura varieties and Kuga families with ordinary loci’, preprint 2013] which is used in the proof of Lemma 4.2.2.
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© 2017 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- On algebraic relations between solutions of a generic Painlevé equation
- A note on Ricci flow with Ricci curvature bounded below
- The Yang–Mills gradient flow and loop spaces of compact Lie groups
- Galois representations and torsion in the coherent cohomology of Hilbert modular varieties
- On Lagrange’s four squares theorem with almost prime variables
- Positivity criteria for log canonical divisors and hyperbolicity
- Corps de Siegel
- The Grothendieck–Teichmüller group action on differential forms and formality morphisms of chains
- Quantum spectral curve for the Gromov–Witten theory of the complex projective line
- Erratum to On the K-theory of groups with finite asymptotic dimension (J. reine angew. Math. 612 (2007), 35–57)
Artikel in diesem Heft
- Frontmatter
- On algebraic relations between solutions of a generic Painlevé equation
- A note on Ricci flow with Ricci curvature bounded below
- The Yang–Mills gradient flow and loop spaces of compact Lie groups
- Galois representations and torsion in the coherent cohomology of Hilbert modular varieties
- On Lagrange’s four squares theorem with almost prime variables
- Positivity criteria for log canonical divisors and hyperbolicity
- Corps de Siegel
- The Grothendieck–Teichmüller group action on differential forms and formality morphisms of chains
- Quantum spectral curve for the Gromov–Witten theory of the complex projective line
- Erratum to On the K-theory of groups with finite asymptotic dimension (J. reine angew. Math. 612 (2007), 35–57)
