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Lattices in Filtered (φ, N)-modules

Part of: Algebraic groups (Co)homology theory

Published online by Cambridge University Press:  24 January 2012

Tong Liu
Tong Liu
Affiliation:
Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907, USA (tongliu@math.purdue.edu)
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Abstract

Let p be a prime. We construct and study integral and torsion invariants, such as integral and torsion Weil–Deligne representations, associated to potentially semi-stable representations and torsion potentially semi-stable representations respectively. As applications, we prove the compatibility between local Langlands correspondence and Fontaine's construction for Galois representations attached to Hilbert modular forms, and Néron–Ogg–Shafarevich criterion of finite level for potentially semi-stable representations.

Keywords

potentially semi-stable representationsfiltered (φ,N)-modulesKisin modules

MSC classification

Secondary: 14F30: $p$-adic cohomology, crystalline cohomology 14L05: Formal groups, $p$-divisible groups
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 11 , Issue 3 , July 2012 , pp. 659 - 693
Copyright
Copyright © Cambridge University Press 2012

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