Hamiltonian Systems

Event Information Dimers, networks, and integrable systems
12:00 on Tuesday September 21, 2021
13:30 on Tuesday September 21, 2021
Virtual
Anton Izosimov

University of Arizona at Tucson

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

https://arxiv.org/abs/2108.04975