Skip to main content

Geometric measure theory in metric spaces

Posted in
Speaker: 
David Bate
Zugehörigkeit: 
University of Warwick
Datum: 
Don, 20/05/2021 - 16:30 - 18:00

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.

 

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A