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Potential automorphy of \hat{G}-local systems

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Let G be a reductive group over a global function field. V. Lafforgue has recently constructed the ‘automorphic-to-Galois’ direction of the global Langlands correspondence for G. I will discuss a potential converse to this result. This is joint work with G. Boeckle, M. Harris, and C. Khare.

This talk is part of the Number Theory Seminar series.

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