The University of Arizona
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Dimers, networks, and integrable systems

Hamiltonian Systems

Dimers, networks, and integrable systems
Series: Hamiltonian Systems
Location: ONLINE
Presenter: Anton Izosimov, University of Arizona

I will review two combinatorial constructions of integrable systems: Goncharov-Kenyon construction based on counting perfect matchings in bipartite graphs, and Gekhtman-Shapiro-Tabachnikov-Vainshtein construction based on counting paths in networks. After that I will outline the proof of equivalence of those constructions. The talk is based on my recent preprint arXiv:2108.04975.

The talk will be via Zoom at: https://utoronto.zoom.us/j/99576627828
Passcode: 448487