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Karen Vogtmann (University of Warwick; Cornell University)
Friday 23 June 2017, 14:30-15:30
The borders of Outer space
- 👤 Speaker: Karen Vogtmann (University of Warwick; Cornell University)
- 📅 Date & Time: Friday 23 June 2017, 14:30 - 15:30
- 📍 Venue: Seminar Room 1, Newton Institute
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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