Cuspidal cohomology classes for GL_n(Z)
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929499108540416 |
|---|---|
| author | Boxer, George Calegari, Frank Gee, Toby |
| author_facet | Boxer, George Calegari, Frank Gee, Toby |
| contents | We prove the existence of a cuspidal automorphic representation $π$ for $GL_{79}/\mathbf{Q}$ 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 $H^*(GL_{n}(\mathbf{Z}),\mathbf{C})$ for any $n > 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15944 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cuspidal cohomology classes for GL_n(Z) Boxer, George Calegari, Frank Gee, Toby Number Theory Representation Theory We prove the existence of a cuspidal automorphic representation $π$ for $GL_{79}/\mathbf{Q}$ 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 $H^*(GL_{n}(\mathbf{Z}),\mathbf{C})$ for any $n > 1$. |
| title | Cuspidal cohomology classes for GL_n(Z) |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2309.15944 |