Barry Simon, California Institute of Technology
SPECTRAL THEORY, SUM RULES AND LARGE DEVIATIONS
Monday, May 28 2018, at 16:30
Aula Chisini, Diparimento di Matematica, Via C. Saldini 50 | |
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Grigory Mikhalkin, Université de Genève
Maximally writhed real algebraic knots and links
Thursday, May 17 2018, at 17:00 precise
Sala di Rappresentanza, Università di Milano, Via C. Saldini 50, Milano | |
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Arnaud Beauville, Université de Nice
Recent progress on rationality problems
Monday, May 14 2018, at 15:30
Sala di Rappresentanza, Università di Milano, Via C. Saldini 50, Milano | |
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Gilles Carron, Laboratoire de Mathématiques Jean Leray (UMR 6629), Université de Nantes, CNRS
The constant scalar curvature equation in some singular spaces
Wednesday, March 14 2018, at 16:30
Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9 | |
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Alessandra Lunardi, Università di Parma
Sobolev and BV functions in infinite dimension
Friday, February 23 2018, at 10:30 precise
Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9 |
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Abstract
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In Hilbert or Banach spaces $X$ endowed with a good probability measure $\mu$ there are a few "natural" definitions of Sobolev spaces and of spaces of bounded variation functions. The available theory deals mainly with Gaussian measures and Sobolev and BV functions defined in the whole $X$, while the study and Sobolev and BV spaces in domains, and/or with respect to non Gaussian measures, is largely to be developed.
As in finite dimension, Sobolev and BV functions are tools for the study of different problems, in particular for PDEs with infinitely many variables, arising in mathematical physics in the modeling of systems with an
infinite number of degrees of freedom, and in stochastic PDEs through Kolmogorov equations.
In this talk I will describe some of the main features and open problems concerning such function spaces.
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