Ragini Singhal, Department of Pure Mathematics, University of Waterloo
"New G₂-holonomy cones and exotic nearly Kähler structures on S⁶ and S³ × S³"
In this influential paper by Lorenzo Foscolo and Mark Haskins the authors prove the existence of the first complete inhomogeneous nearly Kähler 6-manifolds by proving the existence of at least one cohomogeneity one nearly Kähler structure on the 6-sphere and on the product of a pair of 3-spheres. They also conjecture that these are the only simply connected (inhomogeneous) cohomogeneity one nearly Kähler structures in six dimensions. In this talk we will discuss a basic introduction and techniques used in the paper. We will talk about some geometric structures and their relationship and also see the various steps involved in proving the result.
Zoom meeting: https://zoom.us/j/93324862932?pwd=dUdCMGJZL1A3UTBpOXVYNVROdHpKUT09