|
Lecturer: | Andrea Schioppa | Lectures: | Mondays 15-17 @ HG E 1.1 |
First lecture: Monday, 16/02/2015.
This course will illustrate some aspects of geometric measure theory in metric spaces, in particular results that can be classified as "0-order calculus" (e.g. estimates for the maximal functions) and "first-order calculus" (e.g. differentiation of Lipschitz functions).
A list of references, notes and topics covered during the lectures will be updated throughout the course.
A tentative outline:
* Hausdorff measures
* Doubling measures and differentiation of measures
* Rectifiable sets in metric spaces and metric differentiation
* Poincare' inequalities via upper gradients
* Generalizations of Rademacher's Theorem
* Applications to metric embeddings
Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne
graphische Elemente dargestellt. Die Funktionalität der
Website ist aber trotzdem gewährleistet. Wenn Sie diese
Website regelmässig benutzen, empfehlen wir Ihnen, auf
Ihrem Computer einen aktuellen Browser zu installieren. Weitere
Informationen finden Sie auf
folgender
Seite.
Important Note:
The content in this site is accessible to any browser or
Internet device, however, some graphics will display correctly
only in the newer versions of Netscape. To get the most out of
our site we suggest you upgrade to a newer browser.
More
information