On Reuleaux and Cohn-Vossen, or buttons and balls that cannot run away

Geometric Aspects of Nonlinear Partial Differential Equations

20 October 15:00 - 16:00

Bernd Kawohl - University of Cologne

My lecture centers around convex sets of constant width and the biographies of two scientists from the 19th and 20th century, Franz Reuleaux and Stefan Cohn-Vossen. While some of it is at the level of mathematical entertainment (how to drill a square hole?), it will also contain a deep and only partially answered questions and some aspects on the history of mathematics. To be very specific, geometric aspects of the following nonlinear PDE for the boundary of a convex closed set in Euclidean 3-space will be addressed: $\min\{ \kappa_1,\kappa_2\}=1$.
Panagiota Daskalopoulos
Columbia University
Alessio Figalli
ETH Zürich
Erik Lindgren
Uppsala University
Henrik Shahgholian
KTH Royal Institute of Technology
Susanna Terracini,
University of Turin


Erik Lindgren

Henrik Shahgholian


For practical matters at the Institute, send an e-mail to