Seminar Event Detail


Date:  Friday, October 01, 2021
Location:  4088 East Hall (3:00 PM to 4:00 PM)

Title:  Dimers and cross-ratio dynamics

Abstract:   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:  Terrence George
Institution:  University of Michigan

Event Organizer:     


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