Automorphy lifting for residually reducible $l$-adic Galois representations
Author:
Jack A. Thorne
Journal:
J. Amer. Math. Soc. 28 (2015), 785-870
MSC (2010):
Primary 11F80; Secondary 13D10
DOI:
https://doi.org/10.1090/S0894-0347-2014-00812-2
Published electronically:
June 6, 2014
MathSciNet review:
3327536
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Abstract | Similar Articles | Additional Information
Abstract: We prove automorphy lifting theorems for residually reducible Galois representations in the setting of unitary groups over CM fields. Our methods are inspired by those of Skinner-Wiles in the setting of $\mbox {GL}_2$.
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Additional Information
Jack A. Thorne
Affiliation:
University of Cambridge
Email:
jat58@cam.ac.uk
Received by editor(s):
March 7, 2013
Received by editor(s) in revised form:
February 21, 2014, and April 16, 2014
Published electronically:
June 6, 2014
Additional Notes:
This research was partially conducted during the period the author served as a Clay Research Fellow.
Article copyright:
© Copyright 2014
American Mathematical Society
