Thompson's chameleons: F, V, T
- ๐ค Speaker: Dr Andrew Duncan (Newcastle University)
- ๐ Date & Time: Friday 01 March 2019, 19:00 - 20:00
- ๐ Venue: MR2, Centre for Mathematical Sciences
Abstract
While working on problems in logic in the 1960’s, Richard J. Thompson discovered a family of groups, now called F, T and V, which have simple definitions and give rise to many examples as well as tantalising problems. The groups were subsequently found to occur in several other guises: in work on infinite simple groups, homotopy and shape theory, group co-homology, dynamical systems, knot theory and analysis, and have been generalised in several different ways.
I will describe F,T and V, in a few different ways, outline some important features and describe one way in which they arise as dynamical systems.
Series This talk is part of the The Archimedeans (CU Mathematical Society) series.
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Dr Andrew Duncan (Newcastle University)
Friday 01 March 2019, 19:00-20:00