- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- The Fricke-Macbeath curve
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
The Fricke-Macbeath curve Top, Jaap
Description
(Joint with Carlo Verschoor.) The curve in question was introduced as a Riemann surface by R. Fricke in 1899 and as an algebraic curve by A.M. Macbeath in 1965. It is an example of a Shimura curve; moreover, it is the unique Hurwitz curve of genus 7. Only quite recently models of it over the rational numbers were found. We describe how to compute the number of rational points on reductions mod p of these models.
Item Metadata
Title |
The Fricke-Macbeath curve
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2016-09-28T09:00
|
Description |
(Joint with Carlo Verschoor.) The curve in question was introduced as a Riemann surface
by R. Fricke in 1899 and as an algebraic curve by A.M. Macbeath in 1965.
It is an example of a Shimura curve; moreover, it is the unique Hurwitz curve of genus 7.
Only quite recently models of it over the rational numbers were found. We describe
how to compute the number of rational points on reductions mod p of these models.
|
Extent |
50 minutes
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: University of Groningen, Johann Bernoulli Institute
|
Series | |
Date Available |
2017-03-30
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0343402
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Faculty
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International