Automorphy lifting for residually reducible $l$-adic Galois representations
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- by Jack A. Thorne
- J. Amer. Math. Soc. 28 (2015), 785-870
- DOI: https://doi.org/10.1090/S0894-0347-2014-00812-2
- Published electronically: June 6, 2014
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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 $\mbox {GL}_2$.References
Bibliographic 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.
- © Copyright 2014 American Mathematical Society
- 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
- MathSciNet review: 3327536