Starts 7 Apr 2009 15:00
Ends 7 Apr 2009 20:00
Central European Time
ICTP
Leonardo da Vinci Building Main Lecture Hall
Strada Costiera, 11 I - 34151 Trieste (Italy)
In this talk we aim to present regularity and compactness properties for critical points to conformally invariant lagrangian playing a special role in differential geometry: Harmonic maps into riemannian and pseudo-riemannian manifolds, minimal surfaces, prescribed mean curvature surfaces, Willmore surfaces, 1/2-harmonic maps and bi-harmonic maps into manifolds ...etc. We will isolate common features to all these objects and in particular show the existence of "hidden" conservation laws which do not enter in the classical framework of Noether's Theorem. We will recall some fundamental results of the theory of integrability by compensation and we will show how, combined with the existence of conservation laws, this theory permits to overcome a number of analysis difficulties of these particular elliptic partial differential systems.
  • A. Bergamo