Junior Geometric Group Theory Seminar
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Wed, 18/01/2012 15:45 |
Owen Cotton-Barratt |
Junior Geometric Group Theory Seminar  |
SR2 |
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Wed, 25/01/2012 16:00 |
Andrew Sale |
Junior Geometric Group Theory Seminar |
SR2 |
| The lamplighter groups, solvable Baumslag-Solitar groups and lattices in SOL all share a nice kind of geometry. We'll see how the Cayley graph of a lamplighter group is a Diestel-Leader graph, that is a horocyclic product of two trees. The geometry of the solvable Baumslag-Solitar groups has been studied by Farb and Mosher and they showed that these groups are quasi-isometric to spaces which are essentially the horocyclic product of a tree and the hyperbolic plane. Finally, lattices in the Lie groups SOL can be seen to act on the horocyclic product of two hyperbolic planes. We use these spaces to measure the length of short conjugators in each type of group. | |||
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Wed, 01/02/2012 16:00 |
Chris Cashen |
Junior Geometric Group Theory Seminar |
SR2 |
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Wed, 08/02/2012 15:00 |
Dawid Kielak |
Junior Geometric Group Theory Seminar |
SR1 |
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Wed, 15/02/2012 16:00 |
Stefan Witzel |
Junior Geometric Group Theory Seminar |
SR2 |
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The first group known to be finitely presented but having infinitely generated 3rd homology was constructed by Stallings. Bieri extended this to a series of groups G_n such that G_n is of type F_{n-1} but not of type F_n. Finally, Bestvina and Brady turned it into a machine that realizes prescribed finiteness properties. We will discuss some of these examples. |
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Wed, 22/02/2012 16:00 |
Martin Palmer |
Junior Geometric Group Theory Seminar |
SR2 |
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Wed, 07/03/2012 16:00 |
John MacKay |
Junior Geometric Group Theory Seminar |
SR2 |
