Geometric measure theory in metric spaces

The seminar is virtual via Zoom. If you are interested in participating, please contact Stephan Stadler  (stadler@mpim-bonnmpgde)

This talk will give an overview of recent work that generalises results of classical geometric measure theory to arbitrary metric spaces. We will begin with a brief history of analysis on metric spaces, its relationship with differential geometry and the foundational work of Kirchheim on rectifiable subsets of an arbitrary metric space. I will then present new results related to the Besicovitch--Federer projection theorem and the Marstrand--Mattila characterisation of rectifiable sets in terms of tangent spaces. The talk will be self contained and no specialist prior knowledge is required.