CRYSTALLINE LIFTS OF GALOIS REPRESENTATIONS
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Date
2022-04-01
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Johns Hopkins University
Abstract
Let G be a connected split reductive group over Zp, and let K be a p-adic field.
We show continuous mod p G-valued representations of G_K admit crystalline lifts when they are G-completely reducible.
We also show when p>3 and G is the exceptional group G_2, all continuous mod p G-valued representations of G_K admit crystalline lifts.
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Keywords
Galois representations, exceptional groups