Projected Ricci flow and applications to flag manifolds

Abstract: In this talk we will present a normalization for the homogeneous Ricci flow with natural compactness properties. Our method consists in appropriately normalizing the flow to a simplex and time reparametrizing it to get polynomial equations, obtaining what we call the "projected Ricci flow". As an application, we present a detailed picture of the homogeneous Ricci flow for three isotropy-summands flag manifolds: phase portraits, basins of attractions, conjugation classes and collapsing phenomena. This is a joint work with R. M. Martins, M. Patrão, L. Seco, and L. D. Sperança.

differential geometry

Audience: researchers in the topic

Workshop on compact homogeneous Einstein manifolds

Series comments: The workshop aims at bringing together mathematicians that have contributed and are contributing to the study of Einstein metrics on the challenging class of all compact homogeneous spaces.