p-adic Diophantine approximation on manifolds

Wednesday, 31 May 2023

Abstract

In this talk I will discuss recent results by myself and collaborators on metric properties of Diophantine sets on p-adic manifolds. In particular I will talk about results on the Hausdorff dimension and p-adic Haar measure of simultaneously approximable, dually approximable, and Badly approximable sets intersected with p-adic manifolds.