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Cuspidal cohomology classes for GLn(Z)
| File | Description | Size | Format | |
|---|---|---|---|---|
 WeightZero.pdf | File embargoed until 01 January 10000 | 365.35 kB | Adobe PDF | Request a copy |
| Title: | Cuspidal cohomology classes for GLn(Z) |
| Authors: | Boxer, G Calegari, F Gee, T |
| Item 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. |
| Date of Acceptance: | 4-Sep-2024 |
| URI: | http://hdl.handle.net/10044/1/114906 |
| ISSN: | 0894-0347 |
| Publisher: | American Mathematical Society |
| Journal / Book Title: | Journal of the American Mathematical Society |
| Copyright Statement: | Subject to copyright. This paper is embargoed until publication. Once published the author’s accepted manuscript will be made available under a CC-BY License in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy). |
| Publication Status: | Accepted |
| Embargo Date: | This item is embargoed until publication |
| Appears in Collections: | Pure Mathematics Mathematics |
This item is licensed under a Creative Commons License
