Vol. 9, No. 8, 2015

Download this article
Download this article For screen
For printing
Recent Issues

Volume 10
Issue 9, 1845–2052
Issue 8, 1601–1843
Issue 7, 1373–1600
Issue 6, 1147–1371
Issue 5, 939–1146
Issue 4, 695–938
Issue 3, 451–694
Issue 2, 215–450
Issue 1, 1–214

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
Cover
Editorial Board
Editors' Addresses
Editors' Interests
About the Journal
Scientific Advantages
Submission Guidelines
Submission Form
Subscriptions
Editorial Login
Contacts
Author Index
To Appear
 
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
$G$-valued crystalline representations with minuscule $p$-adic Hodge type

Brandon Levin

Vol. 9 (2015), No. 8, 1741–1792
DOI: 10.2140/ant.2015.9.17
Abstract

We study G-valued semistable Galois deformation rings, where G is a reductive group. We develop a theory of Kisin modules with G-structure and use this to identify the connected components of crystalline deformation rings of minuscule p-adic Hodge type with the connected components of moduli of “finite flat models with G-structure”. The main ingredients are a construction in integral p-adic Hodge theory using Liu’s theory of (φ,Ĝ)-modules and the local models constructed by Pappas and Zhu.

Keywords
Galois representation, $p$-adic Hodge theory, finite flat group scheme, local model
Mathematical Subject Classification 2010
Primary: 11S20
Secondary: 14L15, 14F30
Milestones
Received: 4 April 2014
Revised: 1 June 2015
Accepted: 15 July 2015
Published: 29 October 2015
Authors
Brandon Levin
Department of Mathematics
University of Chicago
5734 S. University Avenue, Room 208C
Chicago, 60637
United States