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Justin Moore, Cornell
Thompson's group is amenable Thompson's group F is a certain subgroup of the group of all piecewise linear automorphisms of ([0,1],<). I will demonstrate that this is in fact the case. This will be done by exhibiting an idempotent measure on the free nonassociative groupoid on one generator. This in turn can be used to generalize Hindman's theorem to the setting of nonassociative operations. Justin will be giving the Logic Seminar, shortly after this seminar: 2:55pm–4:10 also in Malott 5th floor lounge. The topology seminar will focus more on background of the amenability problem for Thompson's group and will give an outline of the proof, starting with a complete proof of how amenability is related to the existence of idempotent measures. The logic seminar will briefly review the motivation for those who aren't at the topology seminar and then will focus almost exclusively on the construction of the idempotent measure. The goal will be to provide a fairly detailed and complete proof. Both talks will be fairly disjoint from eachother and either can be attended without the other without losing much. ← Back to the seminar home page |