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Trianguline lifts of
global mod $p$ Galois representations
Najmuddin Fakhruddin, Chandrashekhar Khare and Stefan Patrikis |
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Vol. 320 (2022), No. 2, 223–240
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Abstract |
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We show that under a suitable oddness condition, for irreducible -dimensional mod representations of the absolute Galois group of an arbitrary number field have characteristic zero lifts which are unramified outside a finite set of primes and trianguline at all primes of dividing . We also prove a variant of this result under some extra hypotheses for representations into connected reductive groups. |
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Keywords
Galois representations, deformations of Galois
representations
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Mathematical Subject Classification
Primary: 11F80
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Milestones
Received: 2 March 2022
Revised: 24 July 2022
Accepted: 25 August 2022
Published: 15 February 2023
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Authors |
| Najmuddin Fakhruddin | |
| School of Mathematics Tata Institute of Fundamental Research Mumbai India |
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| Chandrashekhar Khare | |
| Department of Mathematics University of California Los Angeles Los Angeles, CA United States |
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| Stefan Patrikis | |
| Department of Mathematics Ohio State University Columbus, OH United States |
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