Beyond Endoscopy via Poisson Summation for GL(2,K)
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917641142140928 |
|---|---|
| author | Emory, Melissa Espinosa-Lara, Malors Kundu, Debanjana Wong, Tian An |
| author_facet | Emory, Melissa Espinosa-Lara, Malors Kundu, Debanjana Wong, Tian An |
| contents | In the early 2000's, R. Langlands proposed a strategy called Beyond Endoscopy to attack the principle of functoriality, which is one of the central questions of present day mathematics. A first step was achieved by A. Altug who worked with the group $GL(2,\mathbb{Q})$ in a series of three papers. We generalize the first part of this result to a class of totally real number fields. In particular, we cancel the contribution of the trivial and special representations to the trace formula using an additive Poisson summation on the regular elliptic terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10139 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Beyond Endoscopy via Poisson Summation for GL(2,K) Emory, Melissa Espinosa-Lara, Malors Kundu, Debanjana Wong, Tian An Number Theory Representation Theory 11F72 In the early 2000's, R. Langlands proposed a strategy called Beyond Endoscopy to attack the principle of functoriality, which is one of the central questions of present day mathematics. A first step was achieved by A. Altug who worked with the group $GL(2,\mathbb{Q})$ in a series of three papers. We generalize the first part of this result to a class of totally real number fields. In particular, we cancel the contribution of the trivial and special representations to the trace formula using an additive Poisson summation on the regular elliptic terms. |
| title | Beyond Endoscopy via Poisson Summation for GL(2,K) |
| topic | Number Theory Representation Theory 11F72 |
| url | https://arxiv.org/abs/2404.10139 |