Date: Friday, October 01, 2021
Location: 4088 East Hall (3:00 PM to 4:00 PM)
Title: Dimers and crossratio dynamics
Abstract: Crossratio dynamics is a well known dynamical system in discrete differential geometry. It was recently shown to be integrable (in the sense of LiouvilleArnold) by Arnold, Fuchs, Izmestiev and Tabachnikov. We relate it to the cluster integrable system of Goncharov and Kenyon associated with the dimer model on a certain class of graphs. In particular, we find a cluster algebra structure describing crossratio dynamics. This is joint work with Niklas Affolter and Sanjay Ramassamy.
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Speaker: Terrence George
Institution: University of Michigan
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