Work

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

Year: 2026

Type: preprint

Abstract: Nadler and Yun conjectured that the automorphic side of the Betti geometric 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 established 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.12384

Authors: Færgeman, Joakim, Kjærsgaard, Marius

Institutions: Institut des Hautes Études Scientifiques, Institute for Advanced Study

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221143275

Cites: 13

Cited by: 1

Related to: 10