Sunday 13 October 2024 |

Events for day: Tuesday 07 December 2021 |

15:00 - 17:00 Number Theory WebinarOn a Class of Generalized Fermat Equations of Signature $(2,2n,3)$ School MATHEMATICS We will discuss the generalized Fermat equations $Ax^2 + By^{2n} = 4z^3$, assuming (for simplicity) that the class number of the imaginary quadratic field $mathbb{Q}(sqrt{-AB})$ is one. The methods use techniques coming from Galois representations and modular forms; for small $n$'s one needs Chabauty type methods. Our results, conjectures (and methods) extend those given by Bruin, Chen et al. in the case $x^2 + y^{2n} = z^3$. This is a joint work with K. Cha?upka and G. Soydan. Zoom link: https://boun-edu-tr.zoom.us/j/98984858471?pwd=MU ... |