Arbeitsgemeinschaft: Diophantine Approximation, Fractal Geometry and Dynamics

Abstract

Recently conjectures by Schmidt and by Davenport were solved in papers by Dzmitry Badziahin, Andrew Pollington and Sanju Velani, and by Victor Beresnevich. The methods which they used are the source for a growing number of works in Diophantine approximation, fractal geometry and flows on homogeneous spaces, and their full power is still far from being well understood. The goal of this workshop was to introduce those methods to a broader audience, and to allow for an opportunity to further their development.