Presented by:
Karen Vogtmann
Date:
Friday 23rd June 2017 - 14:30 to 15:30
Venue:
INI Seminar Room 1
Abstract:
Outer space is an analog for the group Out(F_n) of the symmetric space associated to an algebraic group. Motivated by work of Borel and Serre, Bestvina and
Feighn defined a bordification of Outer space; this is an enlargement of
outer space which is highly-connected at infinity and on which the
action of Out(F_n) extends, with compact quotient. We realize this bordification as a deformation retract of Outer space instead of an
extension. We use this to give a simpler connectivity proof, and to
give a description of the boundary nicely analogous to that of the
Borel-Serre boundary of a symmetric space. This is joint work with Kai-Uwe Bux and Peter Smillie.
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