Geometry of Curves with Abundant Low Degree Points
Location: MSRI: Simons Auditorium, Online/Virtual
An important invariant of a curve defined over a number field is the minimal degree for which it has infinitely many closed points of that degree. Faltings' theorem characterizes when this invariant takes the value 1. In this talk I will discuss joint work with Borys Kadets, extending classification results of Harris--Silverman and Abramovich--Harris, in which we characterize when this invariant takes other small values.