作者:Harris Michael*; Shepherd Barron Nick; Taylor Richard
来源:Annals of Mathematics, 2010, 171(2): 779-813.
DOI:10.4007/annals.2010.171.779
摘要
We prove potential modularity theorems for l-adic representations of any dimension. From these results we deduce the Sato-Tate conjecture for all elliptic curves with nonintegral j-invariant defined over a totally real field.