Heisenberg varieties and the existence of de Rham lifts

Zhongyipan Lin

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arXiv · 2309.00761

Heisenberg varieties and the existence of de Rham lifts

Zhongyipan Lin

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Abstract

We establish the existence of de Rham lifts of Langlands parameters (or Galois representations) for unitary, orthogonal and symplectic (similitude) groups of arbitrary rank. Our results are unconditional except for the assumption $p>2$.

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Zhongyipan Lin. 2023-09-01. Heisenberg varieties and the existence of de Rham lifts. https://arxiv.org/abs/2309.00761

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