Pure Colloquium Seminar - Eric Swenson (Brigham Young University) Seminar
- Time:
- 15:00 - 16:00
- Date:
- 3 March 2017
- Venue:
- Room 10037, Lecture Room 10B, Building 54, Mathematical Sciences, University of Southampton, Highfield, Southampton, SO17 1BJ
For more information regarding this seminar, please telephone Dr Jan Spakula on 023 8059 3137 or email Jan.Spakula@southampton.ac.uk .
Event details
Title: Two shall be the number of the counting
Abstract: In ancient times, Brian Bowditch showed that if the boundary of a one-ended hyperbolic group has a local cut point $p$, then then $p$ is part of a cut pair, and the group virtually splits over virtually $\Bbb Z$.
We show that if the boundary of a one ended CAT(0) group $G$ is separated by a finite subset then it is separated by cut pair, and $G$ virtually splits over virtually $\Bbb Z$. We also examine nesting actions on $\Bbb R$-trees (because they wouldn't get out of the way).
Speaker information
Eric Swenson , Brigham Young University.