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Geometric flows, G2-structures and 3-Sasakian geometry with Jason Lotay

This is a past event.

Friday, November 18, 2022 at 1:30pm to 2:30pm

DM - Deuxieme Maison, 409A
11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199

Speaker 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. 

Event Type

Academics, Lectures & conferences

Audience

Students, Faculty & Staff

Tags

GEOMETRY AND TOPOLOGY

Department
Department of Mathematics and Statistics
Hashtag

#mathematics

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