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SUMMARY:Highly connected manifolds in dimensions larger than 248 - Jeremy 
 Hahn\, MIT
DTSTART:20200226T160000Z
DTEND:20200226T170000Z
UID:TALK134539@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:A simply connected\, smooth (2n)-manifold is said to be highly
  connected if it has integral homology only in dimensions 0\,n\, and 2n.\n
 I will survey the problem of classifying highly connected manifolds up to 
 diffeomorphism\, as well as calculating their mapping class groups.\nI wil
 l describe work\, joint with Robert Burklund and Andrew Senger\, that comp
 letes the classification in all but finitely many dimensions.\nCombining o
 ur results with theorems of Kreck\, Galatius\, Randal-Williams\, and Krann
 ich gives new mapping class group computations.
LOCATION:MR13
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