Automorphic gluing functor in Betti Geometric Langlands
Algebraic Geometry
2023-06-07 v3 Representation Theory
Abstract
We study automorphic categories of nilpotent sheaves under degenerations of smooth curves to nodal Deligne-Mumford curves. Our constructions realize affine Hecke operators as the result of bubbling projective lines from marked points. We use this to construct a "gluing functor" from the automorphic category of a nodal Deligne-Mumford curve to the automorphic category of a smoothing.
Cite
@article{arxiv.2105.12318,
title = {Automorphic gluing functor in Betti Geometric Langlands},
author = {David Nadler and Zhiwei Yun},
journal= {arXiv preprint arXiv:2105.12318},
year = {2023}
}
Comments
82 pages