Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Speaker: Francesco Pediconi
Affiliation: Università di Firenze

Abstract

Ricci flow solutions that are defined for all negative times have a special significance and are called ancient. Many instances in the literature indicate that ancient solutions possess more symmetries than initially assumed. In this talk, we describe the general structure of collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds and we show that, under some algebraic assumptions, they are, additionally, invariant under the right action of a torus T that centralizes the isotropy group H. This is joint work with S. Sbiti and A. M. Krishnan.