Geometric Flows and Geometric Operators

seminar: Ricci solitons on space-time

speaker: Esther Cabezas-Rivas (Mathematisches Institut, Muenster University)

abstract: In this talk, we will describe how the theory of optimal transportation can lead to new Ricci flow results independent of optimal transportation itself. In particular, given a Ricci flow on a manifold M over a time interval I, we introduce a second time parameter, and define natural gradient Ricci solitons on the space-time M x I. We show how part of the existing theory of Ricci flow is encoded in our solitons, and explain the link between this geometric construction and optimal transportation.

timetable:
Wed 27 May, 18:00 - 19:00, Aula Dini
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