Past Junior Topology and Group Theory Seminar

2 November 2010
16:00
Benno Kuckuck
Abstract
Geoghegan's stack construction is a tool for analysing groups that act on simply connected CW complexes, by providing a topological description in terms of cell stabilisers and the quotient complex, similar to what Bass-Serre theory does for group actions on trees. We will introduce this construction and see how it can be used to give results on finiteness properties of groups.
  • Junior Topology and Group Theory Seminar
8 June 2010
16:00
Richard Wade
Abstract
Starting from a definition of the cohomology of a group, we will define the bounded cohomology of a group. We will then show how quasi-homomorphisms lead to cocycles in the second bounded cohomology group, and use this to look at the second bounded cohomology of some of our favourite groups. If time permits we will end with some applications.
  • Junior Topology and Group Theory Seminar

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