ℤ_p-lattices in semistable Galois representations

2023/08/29 by Yao, Zijian
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2308.15468

Abstract

We show that the category of logarithmic prismatic F-crystals on (O_K, \varpi^ℕ) is equivalent to the category of ℤ_p-lattices in semistable Gal_K-representations. We then apply our method to describe such Galois representations using linear algebraic data via various "logarithmic" versions of Breuil--Kisin modules.

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