Geometry of Curves with Abundant Low Degree Points
Connections Workshop: Diophantine Geometry February 02, 2023 - February 03, 2023
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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.