On measures, projections, and measures of projections

Abstract

In this talk we will look at the following question: given a subset of the plane, what is the relation between the size of the set and the size of its orthogonal projections? To make the notion of “size” more precise, I will first explain what the Hausdorff measures and the Hausdorff dimension are. The talk should be accessible to anyone who has completed a basic calculus course.

Damian Dąbrowski

Postdoc in mathematics

My research interests include geometric measure theory and harmonic analysis.