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.


Comment: This talk was originally scheduled on July 15th, but it could not be carried out for technical reasons. The organizers thank CUNY Geometric Analysis Seminar for offering this spot and co-sponsoring it.


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