Cluster varieties and stability conditions - Tom Bridgeland

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Date: Thursday 28th February 2013 Speaker: Tom Bridgeland (Oxford) Title: Cluster varieties and stability conditions Abstract: I will begin in a very elementary way by explaining the operation of mutation of quivers, and using it to define two complex manifolds, one of them being the cluster variety, and the other being a baby version of the space of stability conditions. I will then describe what these spaces look like for a class of quivers related to triangulations of surfaces, and point out the connection with moduli spaces of Higgs bundles and the Hitchin map. I will finish by discussing some ideas of physicists Gaiotto, Moore and Neitzke which suggest that these examples should fit into a more general framework. http://www.maths.ed.ac.uk/cheltsov/seminar/

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