A note on lattices in semi-stable representations

TL;DR

This paper extends Kisin's theory to classify G-stable Z_p-lattices in semi-stable p-adic Galois representations for primes greater than 2.

Contribution

It introduces a new classification framework for G-stable Z_p-lattices in semi-stable representations by extending existing isin's heory to primes p > 2.

Findings

Extended Kisin's theory to p > 2

Provided a new classification of G-stable lattices

Enhanced understanding of semi-stable Galois representations

Abstract

Let p>2 be a prime, K a finite extension over Q_p and G :=Gal(\bar K/K). We extend Kisin's theory on \phi-modules of finite E(u)-height to give a new classification of G-stable Z_p-lattices in semi-stable representations