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SUMMARY:Ho Yiu Chung (University of Southampton)
DTSTART:20210315T103000Z
DTEND:20210315T113000Z
DTSTAMP:20260422T140101Z
UID:BilTop/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/15/">
 Bieberbach group and decomposing flat manifolds</a>\nby Ho Yiu Chung (Univ
 ersity of Southampton) as part of Bilkent Topology Seminar\n\nLecture held
  in SB-Z11.\n\nAbstract\nAn n-dimensional Bieberbach group is a discrete\,
  cocompact torsion-free subgroup of the group of isometries of Euclidean n
 -space. In this talk\, we will introduce the three Bieberbach theorems in 
 order to understand the algebraic structure of Bieberbach groups. Such gro
 ups are interesting because they arise as fundamental group of compact fla
 t Riemannian manifolds. In the second half of the talk\, we will discuss t
 he Vasquez invariant of finite groups which was introduced by A. T. Vasque
 z in 1970. This invariant is related to a decomposition theorem of sorts f
 or compact flat Riemannian manifolds. We will discuss several results abou
 t such invariant.\n
LOCATION:https://researchseminars.org/talk/BilTop/15/
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