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SCGP Weekly Talk: Semyon Klevtsov, University of Cologne

Title: Kahler geometry in physics and probability
Speaker: Semyon Klevtsov
Date: Tuesday, June 16, 2015
Time: 1:00pm – 2:00pm
Place: Lecture Hall 102, Simons Center
 
 

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Abstract: Recent advances in Kahler geometry provide new tools for the analysis of the Quantum Hall effect, for random geometry and for other probabilistic aspects of physics. Electron configurations define singular Kahler metrics on a Riemann surface, with the probability of a configuration defined by the Laughlin state. The statistics of configurations are governed by Kahler geometric functionals. The same Kahler analysis can be used to study the statistics of random smooth Kahler metrics as well. My talk will survey the methods, results and open problems in the area.