%0 Journal Article %T Rigid local systems and potential automorphy: The $G_2$-case %A Michael Dettweiler %J Mathematics %D 2008 %I arXiv %X We use a certain rigid local system in order to prove the potential automorphy of certain Galois representations with values in $G_2,$ found by N. Katz and the author. %U http://arxiv.org/abs/0810.3335v2