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arXiv · 2610.12384

Local Constancy of the Betti Automorphic Category over the Moduli of Curves

Joakim Færgeman·Marius Kjærsgaard
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Abstract

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 Langlands conjecture. In particular, it follows that the Betti automorphic category depends only on the genus of the curve, verifying a conjecture of Ben-Zvi and Nadler.

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BibTeXRIS

Joakim Færgeman, Marius Kjærsgaard. 2026-10-08. Local Constancy of the Betti Automorphic Category over the Moduli of Curves. https://arxiv.org/abs/2610.12384

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