On crystabelline deformation rings of Gal(Q¯p/Qp) (with an appendix by Jack Shotton)

We prove that certain crystabelline deformation rings of two dimensional residual representations of Gal ( Q ¯ p / Q p ) are Cohen–Macaulay. As a consequence, this allows to improve Kisin’s R [ 1 / p ] = T [ 1 / p ] theorem to an R = T theorem.

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Published in:Mathematische annalen 2019-02, Vol.373 (1-2), p.421-487
Main Authors: Hu, Yongquan, Paškūnas, Vytautas
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Language:English
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Deformation
Mathematics
Mathematics and Statistics
Theorems
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description We prove that certain crystabelline deformation rings of two dimensional residual representations of Gal ( Q ¯ p / Q p ) are Cohen–Macaulay. As a consequence, this allows to improve Kisin’s R [ 1 / p ] = T [ 1 / p ] theorem to an R = T theorem.
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subjects Deformation
Mathematics
Mathematics and Statistics
Theorems
title On crystabelline deformation rings of Gal(Q¯p/Qp) (with an appendix by Jack Shotton)
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