Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Séminaire de groupe

Random metrics, Quantum Hall effect and Kähler geometry
Semyon Klevtsov
Universite de Cologne
lundi 09 février 2015 , 15h30
Institut Cartan, Nancy, Salle de séminaire

I will talk about two related projects, applying recent methods in Kähler geometry to some questions in physics. First, I will explain, how to use the sections of positive line bundle on Riemann surfaces and on Kahler manifolds to construct Laughlin wave functions for integer and fractional Quantum Hall effect and compute their scaling limits for large number of particles. Second, I will talk about a proposal to define statistical sums over geometries, using the approach of random Bergman metrics.



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