Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Dimers, networks, and integrable systems

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 my proof of equivalence of those constructions.  The talk is based on my recent preprint arXiv:2108.04975.

Date & Time

March 18, 2022 | 9:15am – 10:45am

Location

Remote Access

Speakers

Anton Izosimov

Affiliation

The University of Arizona

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