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Daniel Disney (University of Durham) – Sub-Riemannian Structures on Exotic 7-Spheres

Category
Geometry and Analysis
Date
@ Roger Stevens Lecture Theatre 11
Date
@ Roger Stevens Lecture Theatre 11, 15:00
Location
Roger Stevens Lecture Theatre 11
Speaker
Daniel Disney
Affiliation
University of Durham
Category

Sub-Riemannian structures of high codimension (greater than one) are rare on 7-manifolds. Until recently, only three such examples were known on any of the homotopy 7-spheres: two on the standard 7-sphere and one on the Gromoll–Meyer exotic sphere. In this talk I will describe new examples of 2-step, codimension-3 sub-Riemannian structures on every homotopy (exotic) 7-sphere.