Talk
Selected topics in geometric measure theory
Abstract
The aim of the course is to present some classic results in geometric measure theory and to introduce some of the basic tools used in the field.
The topics will tentatively include the following (and can be modulated depending on the audience): Hausdorff measure and dimension; Rademacher's theorem and rectifiable sets; tangent measures and Marstrand's density theorem; the Fourier transform of measures, Frostman's lemma, and Marstrand's projection theorem; Besicovitch's projection theorem and Kakeya sets.
Date and time info
Monday, 15.30-17.00, starting October 23
Keywords
Geometric measure theory; rectifiable sets; Hausdorff dimension
Prerequisites
Real analysis; Some familiarity with basic measure theory is useful
