Publication: Modularity of 2-Adic Barsotti-Tate Representations
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Date
2009
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Springer Verlag
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Kisin, Mark. 2009. “Modularity of 2-Adic Barsotti-Tate Representations.” Inventiones Mathematicae 178 (3): 587–634.
Abstract
We prove a modularity lifting theorem for two dimensional, 2-adic, potentially Barsotti-Tate representations. This proves hypothesis (H) of Khare-Wintenberger, and completes the proof of Serre’s conjecture. The main new ingredient is a classification of connected finite flat group schemes over rings of integers of finite extensions of ℚ2.
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