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arXiv · 2105.12318

Automorphic gluing functor in Betti Geometric Langlands

David Nadler·Zhiwei Yun
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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.

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David Nadler, Zhiwei Yun. 2021-05-26. Automorphic gluing functor in Betti Geometric Langlands. https://arxiv.org/abs/2105.12318

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