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B=
04;LKENT
ALGEBRAIC TOPOLOGY SEMINAR
"Finite Group Actions on Kervaire Manifolds=
"
By
IAN HAMBLETON
(McMaster
University)
Abstract: The =
Kervaire manifolds are clos=
ed,
oriented, almost framed PL manifolds in dimension 4k+2 with Arf
invariant 1. In certain exceptional dimensions (2, 6, 14, 30, 62 and perhaps
126) there exist smooth Kervaire
manifolds. The talk will be about the existence of free smooth or PL action=
s of
finite groups on Kervaire manifolds, starting w=
ith
the existence of free involutions. In contrast with a product of spheres S<=
span
class=3DGramE>^{2k+1} \times S^{2k+1}, it turns out that the Kervaire manifolds have very restricted symmetry. Thi=
s is joint
work (in progress) with Diarmuid Crowley.=
=
=
=
=
Date:
Monday, May 14, 2012
Time: 13.40-14.30
Place: Mathematics Seminar R=
oom,
SA-141
Tea
and cookies will be served after the talk.
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