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

Published 15 Jul 2024 in math.NT and math.RT | (2407.10859v3)

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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