The global nilpotent cone for universal curves
Algebraic Geometry
2026-05-19 v2
Abstract
We construct a conic Lagrangian in the cotangent bundle of the moduli stack of -bundles over the universal curve, restricting to the global nilpotent cone for each curve. It gives rise to a singular support condition suitable for the Betti geometric Langlands correspondence for families of curves and the automorphic gluing functor studied in arXiv: 2105.12318. We also prove a family version of ``local constancy of Hecke operators," generalizing our earlier result.
Cite
@article{arxiv.2603.01261,
title = {The global nilpotent cone for universal curves},
author = {David Nadler and Zhiwei Yun},
journal= {arXiv preprint arXiv:2603.01261},
year = {2026}
}
Comments
This paper expands upon and supersedes Section 4 of arXiv: 2105.12318, and can be read independently