# Ludvig Olsson: Arithmetic Geometry Learning Seminar: Diophantine problems and p-adic period mappings (after Lawrence–Venkatesh)

**Time: **
Tue 2023-05-02 13.15 - 15.00

**Location: **
Kovalevsky room, Albano

**Participating: **
Ludvig Olsson (Stockholm University)

**Abstract:**

In this talk I will prove Falting's theorem, given some properties of the Kodaira–Parshin Familiy and a couple of other results, the proof of which will be given in upcoming lectures. We introduce the notion of an abelian-by-finite family and show how these can be used to bound the K-rational points in an analytic disc.