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Thompson's chameleons: F, V, T

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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.

This talk is part of the The Archimedeans (CU Mathematical Society) series.

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