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arXiv · 2407.10859

Cuspidal cohomology for $GL(n)$ over a number field

Nasit Darshan·A. Raghuram
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Abstract

The main result of this article proves the nonvanishing of cuspidal cohomology for $GL(n)$ over a number field which is Galois over its maximal totally real subfield. The proof uses the internal structure of a strongly-pure weight that can possibly support cuspidal cohomology and the foundational work of Borel, Labesse, and Schwermer.

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Nasit Darshan, A. Raghuram. 2024-07-15. Cuspidal cohomology for $GL(n)$ over a number field. https://arxiv.org/abs/2407.10859

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