.png){kind=icon}
Return
Potential automorphy over CM fields
.png){kind=icon}
OA
AI
DOI：10.4007/annals.2023.197.3.2.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Let F be a CM number field. We prove modularity lifting theorems for regular n-dimensional Galois representations over F without any self-duality condition. We deduce that all elliptic curves E over F are potentially mod-ular, and furthermore satisfy the Sato-Tate conjecture. As an application of a different sort, we also prove the Ramanujan Conjecture for weight zero cuspidal automorphic representations for GL2(AF).
Keywords:
Galois representations
automorphic forms
Journal
IF:
5.3
Papers:
1.4K
Citations:
1.6W
Organization
View more organizations
Cited Papers
No cited papers available