EVENT DETAILS AND ABSTRACT

Title: Geometry and large N limits in Quantum Hall states
Speaker: Semyon Klevtsov
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Abstract:

Quantum Hall states are N-particle wave functions, successfully describing the fractional quantum Hall effect (QHE). It was understood early on that much can be learned about QHE when QH states are considered on a Riemann surface. Mathematically, the questions about the Laughlin states are in the areas of point processes, gaussian free fields, asymptotics of Bergman kernels for higher powers of line bundle on a surface and large-N asymptotics of Coulomb gas-type integrals. In physics, our framework gives a novel perspective on the Hall conductance, Hall viscosity, Hall central charge and topological phases.