A pot-pourri of non-negatively curved 7-manifolds

Abstract: Manifolds with non-negative sectional curvature are rare and difficult to find, with interesting topological phenomena traditionally being restricted by a dearth of methods of construction. In this talk, I will describe a large family of seven-dimensional manifolds with non-negative curvature, leading to examples of exotic diffeomorphism types, non-standard homotopy types and fake versions of familiar friends. This is based on joint work with Sebastian Goette and Krishnan Shankar.

differential geometrygeometric topology

Audience: researchers in the topic

( video )

Comments: Martin Kerin's talk was originally announced on July 15th, but it had to be canceled by technical reasons. The current talk is hosted in CUNY Geometric Analysis Seminar, and co-sponsored by the Virtual seminar of geometry with symmetries.

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, send a message to geometrywithsymmetries@gmail.com requiring it.

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