Analysis Seminar

Title: Geometric flows, G2-structures and 3-Sasakian geometry
Speaker: Jason Lotay
Speaker Info: University of Oxford
Brief Description:
Special Note:

Geometric flows give a useful analytic tool to study important problems in geometry and topology. A key example is the Ricci flow, which (after possibly rescaling) has Einstein metrics as its critical points. In 7 dimensions, 3-Sasakian geometry leads to two natural Einstein metrics with positive scalar curvature, both of which are induced by special structures known as nearly parallel G2-structures. The nearly parallel G2-structures are critical points (again up to scaling) 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 all these geometric flows on 3-Sasakian 7-manifolds, particularly in terms of the stability of the critical points. This is joint work with A. Kennon.
Date: Thursday, November 03, 2022
Time: 3:00pm
Where: Lunt 107
Contact Person: Gabor Szekelyhidi
Contact email: gaborsz@northwestern.edu
Contact Phone: 917-744-1213
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