Discrete mathematical modelling seminar

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Organizer(s) Tetsuji Tokihiro, Ralph Willox

2020/02/17

16:30-18:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Sanjay Ramassamy (IPhT, CEA Saclay)
Cluster algebras, dimer models and geometric dynamics
[ Abstract ]
Cluster algebras were introduced by Fomin and Zelevinsky at the beginning of the 21st century and have since then been related to several areas of mathematics. In this talk I will describe cluster algebras coming from quivers and give two concrete situations were they arise. The first is the bipartite dimer model coming from statistical mechanics. The second is in several dynamics on configurations of points/lines/circles/planes.

This is based on joint work with Niklas Affolter (TU Berlin), Max Glick (Google) and Pavlo Pylyavskyy (University of Minnesota).