TL;DR
This paper extends modularity lifting results to totally real fields where p is unramified, aiding progress on the strong Artin conjecture in these contexts.
Contribution
It proves an analogue of Buzzard and Taylor's main result for totally real fields with unramified p, advancing modularity lifting theory.
Findings
Established modularity lifting in new number field setting
Enabled progress on the strong Artin conjecture over totally real fields
Extended existing results to broader class of fields
Abstract
We prove an analogue of the main result of Buzzard and Taylor (Annals of Mathematics 149 (1999), 905-919) for totally real fields in which p is unramified. This can be used to prove certain cases of the strong Artin conjecture over totally real fields.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.