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Combinatorics Seminar

Dimers and cross-ratio dynamics
Friday, October 1, 2021
3:00-4:00 PM
4088 East Hall Map
Cross-ratio dynamics is a well known dynamical system in discrete differential geometry. It was recently shown to be integrable (in the sense of Liouville-Arnold) 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 cross-ratio dynamics. This is joint work with Niklas Affolter and Sanjay Ramassamy. Speaker(s): Terrence George (University of Michigan)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics