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- W2566613923 abstract "For a representation over a finite field of characteristic p of the absolute Galois group of the rationals, we study the existence of a lift to characteristic zero that is geometric in the sense of the Fontaine-Mazur conjecture. For two-dimensional representations, Ramakrishna proved that under technical assumptions odd representations admit geometric lifts. We generalize this to higher dimensional orthogonal and symplectic representations. The key innovation is the definition and study of a deformation condition at primes where the representation is ramified generalizing the minimally ramified deformation introduced for $GL_n$ by Clozel, Harris, and Taylor. This requires an understanding of nilpotent orbits and centralizers of nilpotent elements in the relative situation, not just over fields." @default.
- W2566613923 created "2017-01-06" @default.
- W2566613923 creator A5034407280 @default.
- W2566613923 date "2016-12-13" @default.
- W2566613923 modified "2023-09-27" @default.
- W2566613923 title "Geometric Deformations of Orthogonal and Symplectic Galois Representations" @default.
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