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Décomposition au-dessus des paramètres de Langlands elliptiques (1811.07976v2)
Published 19 Nov 2018 in math.AG
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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