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SUMMARY:Towers of regular self-covers and linear endomorphisms of tori - W
 outer Van Limbeek (University of Michigan)
DTSTART:20170508T123000Z
DTEND:20170508T133000Z
UID:TALK72373@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Let M be a closed manifold that admits a nontrivial cover diff
 eomorphic to itself. What can we then say about M? Examples are provided b
 y tori\, in which case the covering is homotopic to a linear endomorphism.
  Under the assumption that all iterates of the covering of M are regular\,
  we show that any self-cover is is induced by a linear endomorphism of a t
 orus on a quotient of the fundamental group. Under further hypotheses we s
 how that a finite cover of M is a principal torus bundle. We use this to g
 ive an application to holomorphic self-covers of Kaehler manifolds.
LOCATION:Seminar Room 1\, Newton Institute
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