Cuspidal cohomology classes for GLn(Z)
File(s)WeightZero.pdf (365.35 KB)
Accepted version
Author(s)
Boxer, george
calegari, frank
Gee, Toby
Type
Journal Article
Abstract
We prove the existence of a cuspidal automorphic representation π
for GL79 /Q of level one and weight zero. We construct π using symmetric
power functoriality and a change of weight theorem, using Galois deformation
theory. As a corollary, we construct the first known cuspidal cohomology
classes in H∗(GLn(Z), C) for any n > 1.
for GL79 /Q of level one and weight zero. We construct π using symmetric
power functoriality and a change of weight theorem, using Galois deformation
theory. As a corollary, we construct the first known cuspidal cohomology
classes in H∗(GLn(Z), C) for any n > 1.
Date Issued
2025-04-01
Date Acceptance
2024-09-04
Citation
Journal of the American Mathematical Society, 2025, 38 (2), pp.509-520
ISSN
0894-0347
Publisher
American Mathematical Society
Start Page
509
End Page
520
Journal / Book Title
Journal of the American Mathematical Society
Volume
38
Issue
2
Copyright Statement
Copyright © 2024 American Mathematical Society. This is the author’s accepted manuscript made available under a CC-BY licence in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy)
License URL
Publication Status
Published
Date Publish Online
2024-10-11