Quadratic Chabauty for Atkin-Lehner quotients of modular curves and Shimura curves
Supported by a WiN-UBT
2021 Conference Grant
Feel free to contact me if you are interested in participating!
E-Mail: public GPG key
March 21–26, 2022 (the week before Rational Points 2022, Schney, March 27 – April 2, 2022) at Universität Bayreuth, Bayreuth, Germany (tbc)
Aim of the conference
We work on extending our computation Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6 of the rational points on the modular curves X0+(p) of genus 4, 5, and 6 to cover more general
- Atkin-Lehner quotients and
- Shimura curves.
To this end, we
- extend the quadratic Chabauty algorithm,
- compute local heights away from p, and
- determine the quadratic Chabauty function when there are not many rational points.