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Local Constancy of the Betti Automorphic Category over the Moduli of Curves
Nadler and Yun conjectured that the automorphic side of the Betti geomet- ric Langlands correspondence forms a local system of categories over the moduli of curves. We prove this local constancy conjecture using purely microlocal methods, independent of the recently estab- lished Betti geometric Lan
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