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arXiv · 1801.00655

Contractibility of the space of generic opers for classical groups

Dario Beraldo·David Kazhdan·Tomer M. Schlank
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Abstract

Let $G$ be a reductive group and $X$ a smooth projective curve. We prove that, for $G$ classical and $\sigma$ an arbitrary $G$-local system on $X$, the space $\overline{\operatorname{Op}}^{gen}_{G,\sigma}$ of generic extended oper structures on $\sigma$ is homologically contractible. This contractibility result is crucial for the proof of the geometric Langlands conjecture.

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Dario Beraldo, David Kazhdan, Tomer M. Schlank. 2018-01-02. Contractibility of the space of generic opers for classical groups. https://arxiv.org/abs/1801.00655

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