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arXiv · 1909.00655

Potential automorphy of $\widehat{G}$-local systems

Jack A. Thorne
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Abstract

Vincent Lafforgue has recently made a spectacular breakthrough in the setting of the global Langlands correspondence for global fields of positive characteristic, by constructing the `automorphic--to--Galois' direction of the correspondence for an arbitrary reductive group $G$. We discuss a result that starts with Lafforgue's work and proceeds in the opposite (`Galois--to--automorphic') direction.

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Jack A. Thorne. 2019-09-02. Potential automorphy of $\widehat{G}$-local systems. https://arxiv.org/abs/1909.00655

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