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Geometric flows, G2-structures and 3-Sasakian geometry

组织者

河井公大朗 , 钱超

演讲者

Jason Lotay

时间

2022年10月04日 09:15 至 10:15

地点

Online

线上

Zoom 559 700 6085 (BIMSA)

摘要

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.