15 Mär 2018
16:15  - 18:00

Spiegelgasse 5, Seminarraum 05.002


Perlen-Kolloquium: Camillo De Lellis

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 di erent 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.


Veranstaltung übernehmen als iCal