Geometric flows, G2-structures and 3-Sasakian geometry with Jason Lotay
Friday, November 18, 2022 1:30pm to 2:30pm
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11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199
#mathematicsSpeaker Professor Jason Lotay from Oxford University
Abstract 3-Sasakian 7-manifolds admit two natural Einstein metrics with positive scalar curvature, both of which are induced by special structures in 7 dimensions known as nearly parallel G2-structures. Up to scaling, Einstein metrics are critical points for the Ricci flow and nearly parallel G2-structures are critical points for two different flows in G2 geometry: the Laplacian flow and the Laplacian coflow. In this talk, I will describe how the behaviour is very different for each of these flows on 3-Sasakian 7-manifolds, particularly in terms of the stability and instability of the critical points. This is joint work with A. Kennon.
Graduate students are encouraged to attend.
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