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arXiv · 2202.00405

Trianguline lifts of global mod $p$ Galois representations

Najmuddin Fakhruddin·Chandrashekhar Khare·Stefan Patrikis
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Abstract

We show that under a suitable oddness condition, irreducible mod $p$ 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 $F$ dividing $p$. We also prove variants of this result for representations valued in connected reductive groups.

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Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis. 2022-02-01. Trianguline lifts of global mod $p$ Galois representations. https://doi.org/10.2140/pjm.2022.320.223

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