Séminaire de groupe
|Random metrics, Quantum Hall effect and Kähler geometry|
|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 KÃ¤hler 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.