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Mean field limit of interacting filaments and vector valued non linear PDEs – Michele Coghi (Scuola Normale Superiore, Pisa)

Families of N interacting curves are considered, with long range, mean-field type, interaction. A family of curves defines a 1-current, concentrated on the curves, analog of the empirical measure of interacting point particles. This current is…

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On the set of conformal scalar-flat metrics on manifolds with boundary – Sergio Almaraz (UFF – Universidade Federal Fluminense, Brazil)

Let (M, g) be a compact Riemannian manifold with boundary. In this talk I will be interested in the set of scalar-flat metrics on M which are in the conformal class of g and have the boundary as a constant mean curvature hypersurface. I will mainly…

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