Si comunica che nei prossimi giorni alla Scuola Normale si terrà il seguente seminario di matematica nell'ambito dei Colloqui De Giorgi:

Abstract: If the derivative of f is square integrable must be also,at least up to a constant? If not why not? This simple question will be used to introduce some concepts in geometric analysis in finite and infinite dimensions. After some brief,introductory, comments on L2 cohomology of finite dimensional Riemannian manifolds and the role of spectral gaps, I will consider some infinite dimensional cases starting with paths on Euclidean spaces and followed by manifolds of paths on Riemannian manifolds. Here the basic Geometric Analysis is Stochastic Analysis and results from the latter play a key role.