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SUMMARY:Homotopy self-equivalences of manifolds - Ian Hambleton (McMaster 
 University)
DTSTART:20240530T083000Z
DTEND:20240530T093000Z
UID:TALK217207@talks.cam.ac.uk
DESCRIPTION:For a closed\, topological $n$-manifold $M$\, let $E(M)$ denot
 e its space of pointed self-homotopy equivalences. In [Hambleton-Kreck\, 2
 004] a braid of interlocking exact sequences was established in order to o
 btain new information about&nbsp\; $Aut(M):=\\pi_0(E(M))$\, assuming that 
 $M$ is a closed\, oriented $4$-manifold and the self-equivalences are orie
 ntation-preserving. It seemed clear to the authors at the time that a simi
 lar braid should exist for higher dimensional manifolds.The aim of this pr
 oject is to carry out the details of this extension\, and to generalize th
 e braid to include information about the higher homotopy groups $\\pi_k(E(
 M))$ and related variants. This is a preliminary report on joint work with
  Kursat Sozer (McMaster) and Robin Sroka (Muenster).
LOCATION:External
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