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| The next meeting of the North British Geometric Group Theory network will be held on Friday 17 March 2017 in the Newhaven Lecture Theatre of the International Centre for Mathematical Sciences (ICMS), 15 South College Street, Edinburgh. |
Lunch
Please make your own arrangements for lunch. ICMS is close to the main campus of Edinburgh University.There are plenty of restaurants, cafes and sandwich shops in the vicinity, for example in George IV Bridge, Potter Row and Nicholson Street.
Timetable
1.45 Ana Khukhro (Neuchatel): Geometry of finite quotients of groups
| Geometric properties of a collection of finite quotients of a group can provide information about the group if the set of finite quotients is sufficiently rich. Using a metric space constructed using Cayley graphs of these finite quotients, one can exploit the connections between the world of group theory and graph theory to give examples of metric spaces with interesting and often surprising properties. In this talk, we will describe some results in this direction, and then give recent results concerning geometric rigidity of finite quotients of a group (joint work with Thiebout Delabie). |
3:00 Andrew Duncan (Newcastle): The transvection subgroup of automorphisms of partially commutative groups
| The automorphism group of a partially commutative group (RAAG) decomposes naturally into graph isomorphisms, basis conjugations and transvections. In this talk the structure of the part of the group generated by transvections is described |
4:00 Tea/Coffee Break
4.30 Tullia Dymarz (Wisconsin): A model for random nilpotent groups
| In Gromov's density model, a random group is either trivial or hyperbolic and in particular never nilpotent. We use the fact that every torsion free nilpotent group can be realized as a subgroup of the group of all
upper triangular matrices with integer entries to present a model for random nilpotent groups. Our random nilpotent groups are subgroups of this group of matrices generated by elements given by random walks on a fixed generating set. By varying the size of the matrices and the length of the subgroup generators we prove results on the 'step' (i.e. the length of the lower central series) of a random nilpotent group. This is joint work with K. Delp and A. Schaffer-Cohen.
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Dinner
There will be an early evening meal in Edinburgh, for all who are able to stay. Please let us know by Wednesday 15 March if you wish to come to the meal: email l.ciobanu@hw.ac.uk