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Seminari di Equazioni Differenziali e Applicazioni: Some variations on Ricci Flow

Mercoledì 14 Gennaio 2015, ore 15:00 - Sala Riunioni VII piano - Carlo Mantegazza

ARGOMENTI: Seminari

SEMINARIO DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI

Mercoledì 14 Gennaio 2015 alle ore 15:00 in Sala Riunioni al VII piano, Carlo Mantegazza (Scuola Normale Superiore, Pisa)
terrà un seminario dal titolo "Some variations on Ricci Flow".

Abstract
I will present and discuss some results and problems about some flows of metrics on Riemannian manifolds correlated to Ricci flow:
- The "renormalization group" flow, truncated at the second order term. The Ricci flow is its trucation at the first order (joint work with L. Cremaschi).
- The "Ricci-Bourguignon" flow, which is a perturbation of the Ricci flow equation by an extra term proportional to the product of the scalar curvature with the metric (joint work with G. Catino, L. Cremaschi, Z. Djadli, L. Mazzieri).
- A "noname" flow that I and N. Gigli introduced using the theory of optimal transport of mass, which is "tangent" to the Ricci flow at the initial time and which can be defined also for nonsmooth metric spaces.

Rif. Int. M. Bardi, C. Marchi, D. Castorina

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