Manchester Geometry Seminar - Anton Izosimov
| Dates: | 16 February 2026 |
| Times: | 15:00 - 16:00 |
| What is it: | Seminar |
| Organiser: | Department of Mathematics |
| Who is it for: | University staff, External researchers, Current University students |
|
Speaker: Anton Izosimov (Glasgow)
Title: The dimer model and dynamical incidence geometry
Abstract: The dimer model is an archetypal model of statistical physics. In recent years, it has also emerged in connection with gauge theory and integrable systems. We propose a geometric counterpart of the dimer model on bipartite graphs. A state of our model consists of a choice of a point for each white vertex and hyperplane for each black vertex. This data is subject to certain conditions determined by the graph. We show that our model
behaves consistently under standard local moves of the dimer model. On the geometric side, this gives rise to a new class of theorems in linear incidence geometry – dynamical incidence theorems.
Based on joint work with P. Pylyavskyy.
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Frank Adams Room 1
Alan Turing Building
Manchester