[CvGmt News] [Notiziario] [Settimanale] Colloqui De Giorgi:

[Giulia Curciarello]

Si comunica che nei prossimi giorni alla Scuola Normale si terrà il 
seguente seminario di matematica nell'ambito dei Colloqui De Giorgi:
 
Giovedì 20 novembre 2003, alle ore 15:00 in aula Mancini,
*Prof. David Elworthy* - University of Warwick
"Functions of finite energy in finite and infinite dimensions"
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.

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