Title: Quantum Hall effect and vector bundles over moduli spaces of curves and Jacobians
Speaker: Dimitri Zvonkine
Speaker Info: IMJ-PRG
Brief Description: Research Talk
Meeting ID: 988 8144 3994Date: Thursday, October 15, 2020
Meeting Password: First word of the name of the seminar (in small letters)
Abstract: Vector bundles of so-called Laughlin states were introduced by physicists to study the fractional quantum Hall effect. Their fibers are spaces of ground states of a gas of particles on a surface and their Chern classes are measurable physical quantities. We will explain how they are related to the vector bundle of theta-functions over the moduli space and to certain vector bundles over the Jacobians. We report some computations of their ranks and Chern classes. Work in progress with Semyon Klevtsov.