University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Highly connected manifolds in dimensions larger than 248

Highly connected manifolds in dimensions larger than 248

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  • UserJeremy Hahn, MIT
  • ClockWednesday 26 February 2020, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

A simply connected, smooth (2n)-manifold is said to be highly connected if it has integral homology only in dimensions 0,n, and 2n. I will survey the problem of classifying highly connected manifolds up to diffeomorphism, as well as calculating their mapping class groups. I will describe work, joint with Robert Burklund and Andrew Senger, that completes the classification in all but finitely many dimensions. Combining our results with theorems of Kreck, Galatius, Randal-Williams, and Krannich gives new mapping class group computations.

This talk is part of the Differential Geometry and Topology Seminar series.

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