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تسجيل مستخدم جديدDecomposition au-dessus des param`etres de Langlands elliptiques
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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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