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Geometry of Curves with Abundant Low Degree Points

Connections Workshop: Diophantine Geometry February 02, 2023 - February 03, 2023

February 03, 2023 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Isabel Vogt (Brown University)
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

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.

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