The Library
Mazur's isogeny theorem
Tools
Tools
Tools
Michaud-Jacobs, Philippe (2023) Mazur's isogeny theorem. In: The Year-Long Program on Triangle Groups, Belyi Uniformization, and Modularity : IInd Trimester, Pune, India, 1 Sep 2021 - 31 Aug 2022. Published in: Proceedings of The Year-Long Program on Triangle Groups, Belyi Uniformization, and Modularity: : IInd Trimester
|
PDF
WRAP-Mazur's-isogeny-theorem-Michaud-Jacobs-2023.pdf - Accepted Version - Requires a PDF viewer. Download (499Kb) | Preview |
Official URL: https://sites.google.com/view/bms2021/proceedings
Abstract
Mazur's isogeny theorem states that if p is a prime for which there exists an elliptic curve E=Q that admits a rational isogeny of degree p, then p 2 f2; 3; 5; 7; 11; 13; 17; 19; 37; 43; 67; 163g. This result is one of the cornerstones of the theory of elliptic curves and plays a crucial role in the proof of Fermat's Last Theorem. In this expository paper, we overview Mazur's proof of this theorem, in which modular curves and Galois representations feature prominently.
| Item Type: | Conference Item (Paper) | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Number theory , Fermat's last theorem, Modular curves, Galois theory , Curves, Elliptic | ||||||
| Journal or Publication Title: | Proceedings of The Year-Long Program on Triangle Groups, Belyi Uniformization, and Modularity: : IInd Trimester | ||||||
| Official Date: | 2023 | ||||||
| Dates: |
|
||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 2 June 2023 | ||||||
| Date of first compliant Open Access: | 5 June 2023 | ||||||
| Conference Paper Type: | Paper | ||||||
| Title of Event: | The Year-Long Program on Triangle Groups, Belyi Uniformization, and Modularity : IInd Trimester | ||||||
| Type of Event: | Other | ||||||
| Location of Event: | Pune, India | ||||||
| Date(s) of Event: | 1 Sep 2021 - 31 Aug 2022 | ||||||
| Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
