Suzuki: Configuration Spaces Over Metric Measure Spaces
Suzuki: We shall talk about analytic, geometric and stochastic properties of configuration spaces over metric measure spaces with the Poisson measure. We construct a Dirichlet form on configuration spaces over metric measure spaces based on Ma-Röckner '00. In the case of the Poisson measure, we show Rademacher's theorem, the Sobolev-to-Lipschitz property, Curvature-Dimension conditions, and the stability of Dirichlet forms. We further study the corresponding diffusion processes identified with infinite particle systems of diffusion processes in the base space. This is a joint work with Lorenzo Dello Schiavo from Bonn University. http://cvgmt.sns.it/seminar/704/
When
Wed Sep 11, 2019 3pm – 4pm Coordinated Universal Time
