This lecture series will give a sample of the diverse occurrences of surfaces in analysis, geometry and physics. In particular, the following topics will be covered.
1. Shape and sound -- spectral theory of surfaces (C. Bär).
2. Geometric inequalities (J. Metzger).
3. Hypersurfaces with singularities -- Caccioppoli sets (U. Menne).
4. Surfaces viewed as paths: an introduction to bosonic string theory (S. Paycha).
References will be announced in the lecture. Amongst them the following.
Announcements about the course and exercise sheet distribution will happen thru the Moodle Platform.