朗兰兹几何猜想 V 的证明：乘数一定理

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-15 DOI:arxiv-2409.09856

Dennis Gaitsgory, Sam Raskin

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摘要

这是五篇系列论文中的最后一篇，我们在其中证明了几何朗兰兹猜想（GLC）。我们通过证明存在一个与不可还原局部系统相对应的唯一（通过向量空间向上张弦）赫克凯伊根舍夫（本文标题即由此而来）来结束对 GLC 的证明。我们通过分析局部系统堆栈的几何学来实现这一点。

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Proof of the geometric Langlands conjecture V: the multiplicity one theorem

This is the final paper in the series of five, in which we prove the geometric Langlands conjecture (GLC). We conclude the proof of GLC by showing that there exists a unique (up to tensoring up by a vector space) Hecke eigensheaf corresponding to an irreducible local system (hence, the title of the paper). We achieve this by analyzing the geometry of the stack of local systems.

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arXiv - MATH - Algebraic Geometry

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