3:00–4:00 pm
Title: Quadratic Chabauty For Modular Curves
Abstract:
By Faltings' theorem, the set of rational points on a curve of genus 2 or more is finite. We give a survey of the quadratic Chabauty method, which is used to determine a finite superset of the set of rational points for certain curves of genus 2 or more. In particular, we discuss what aspects of quadratic Chabauty can be made practical for certain modular curves and highlight several examples, including the non-split Cartan modular curve of level 27. This is based on joint work with Alexander Betts, Netan Dogra, Daniel Hast, Aashraya Jha, Steffen Mueller, Jan Tuitman, and Jan Vonk.
Event Type
Jan
7