Cuspidal cohomology for $GL(n)$ over a number field
Number Theory
2025-04-02 v3 Representation Theory
Abstract
The main result of this article proves the nonvanishing of cuspidal cohomology for 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.
Cite
@article{arxiv.2407.10859,
title = {Cuspidal cohomology for $GL(n)$ over a number field},
author = {Nasit Darshan and A. Raghuram},
journal= {arXiv preprint arXiv:2407.10859},
year = {2025}
}
Comments
Section 6 on the main theorem and its proof has been enhanced with more details in this revised version