Lecture 1: The oriented Plateau problem and a question of Almgren

Lecturer: 

Camillo De Lellis (Universität Zürich)
The Plateau problem, named by Henry Lebesgue after the Belgian physicist, consists in finding the surface of least area which spans a given contour. In order to tackle such question, generations of mathematicians have investigated the very fundamental notions of "surface'', "boundary'' and "area'', proposing a variety of different theories. In this talk I will give a brief exposition of the so-called theory of currents, introduced by Federer and Fleming in the 60es after the pioneering work of De Giorgi in the case of hypersurfaces. I will then discuss an open question relating the shapes of the contour and that of the minimizer, posed by Almgren in the early eighties and recently solved in a joint work with Guido de Philippis, Jonas Hirsch and Annalisa Massaccesi.

Date: 

Thu, 26/04/2018 - 14:30 to 15:30

Location: 

Manchester House, Lecture Hall 2, Hebrew University Safra Campus