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UID:node-3135116@mathematics.huji.ac.il
DTSTAMP:20221128T120000Z
DTSTART:20221128T120000Z
DTEND:20221128T130000Z
SUMMARY:Probability seminar: Paul Duncan (HUJI) - Random-Cluster Plaquette Percolation and Potts Lattice Gauge Theory
DESCRIPTION:\n\nThe Potts model offers a fundamental example of phase transition in statistical mechanics, and has been fruitfully studied using a coupling with the random-cluster model of percolation. We explore an analogous relationship in higher dimensions between Potts lattice gauge theory and a coupled random-cluster model of plaquette percolation. The associated Wilson loop variables can then be understood in terms of the topology of the cubical complex formed by the plaquettes. We also show that percolation with i-dimensional plaquettes in a 2i-dimensional torus exhibits a phase transition in its global topological properties.\n\nNo background in topology or percolation theory will be assumed.\n\nThis is based on joint work with Benjamin Schweinhart.
LOCATION:The link will be sent to you after registration
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