Toral symmetries of homogeneous collapsed ancient Ricci flows

Abstract: Ricci flow solutions that are defined for all negative times, are called ancient, and have a special significance since they arise as blowup limits at singularities of the flow. Several instances in the literature suggest that ancient solutions to the Ricci flow have a higher degree of symmetry than initially assumed. In recent work (joint with F. Pediconi and S. Sbiti), we show that under certain assumptions, collapsed homogeneous ancient solutions to the Ricci flow have additional toral symmetry.

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Differential geometry.

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