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arXiv · 1811.07976

D\'ecomposition au-dessus des param\`etres de Langlands elliptiques

Vincent Lafforgue·Xinwen Zhu
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Abstract

We prove that, over any elliptic global Langlands parameter $\sigma$, the cuspidal cohomology groups of moduli stacks of shtukas are given by a formula involving a finite dimensional representation of the centralizer of $\sigma$. It is a first step in the direction of Arthur-Kottwitz conjectures.

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Vincent Lafforgue, Xinwen Zhu. 2018-11-19. D\'ecomposition au-dessus des param\`etres de Langlands elliptiques. https://arxiv.org/abs/1811.07976

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