Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTHE
Subjects cond-mat.stat-mech,hep-th,math,math-ph,math.AG
Date Friday 29 March 2019
Time 11:00
Institute LPTHE
Seminar Room Bibliothèque
Speaker's Last Name Ramassamy
Speaker's First Name Sanjay
Speaker's Email Address
Speaker's Institution ENS Paris
Title Dimers and circle patterns
Abstract The dimer model is a model from statistical mechanics corresponding to random perfect matchings on graphs. Circle patterns are a class of embeddings of planar graphs such that every face admits a circumcircle. In this talk I describe a correspondence between dimer models on planar bipartite graphs and circle pattern embeddings of these graphs. As special cases of this correspondence we recover the Tutte embeddings for resistor networks and the s-embeddings for Ising models. This correspondence is also the key for studying Miquel dynamics, a discrete integrable system on circle patterns.
arXiv Preprint Number

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