Title: Quadratic Chabauty: geometric and explicit
Speaker: Juanita Duque Roser (Dartmouth)
Speaker's URL: https://math.dartmouth.edu/~jduque/
Abstract: Geometric quadratic Chabauty is a method, pioneered by Edixhoven and Lido ['21], whose goal is to determine the rational points on a nice curve X. The main tools that this method uses are p-adic analysis and Gm-torsors over the Jacobian of X. In this talk, I will give an overview of the method, focusing on explicit computations. I will also present a comparison theorem to the (original) method for quadratic Chabauty. Finally, we will look at a specific example of a modular curve where the method of geometric quadratic Chabauty can be used. This is joint work with Sachi Hashimoto and Pim Spelier.
URL associated with Seminar: https://research.math.osu.edu/numbertheory/