Abstract for the talk at 11.11.2014 (15:15 h)Oberseminar ANALYSIS - PROBABILITY
Francesco Ghiraldin (Universität Zürich, Institut für Mathematik, Switzerland)
A direct approach to Plateau's problem
I will present a compactness principle which is applicable to different formulations of Plateau's problem in codimension one and which is based on Preiss' rectifiability result and on some elementary comparison arguments. Exploiting some additional techniques in geometric measure theory, we can use this principle to give a different proof of a theorem by Harrison and Pugh and to answer a question raised by Guy David.