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Seminar in Algebraic Geometry: “Fractional quantum Hall effect and vector bundles over M_{g,n} - the first steps”

Friday, May 17th, 2019, 11:00 - Room 1AD100 - Dimitri Zvonkine

ARGOMENTI: Seminars

“Fractional quantum Hall effect and vector bundles over M_{g,n} - the first steps”
Friday, May 17th, 2019, 11:00
Room 1AD100
Dimitri Zvonkine (CNRS Versailles)

Abstract
Vector bundles of Laughlin states were introduced by physicists to study the fractional quantum Hall effect and their Chern classes are related to measurable physical quantities. We will explain how they are related to the vector bundle of theta-functions over the moduli space and perform the first steps in the computation of their Chern classes. Work in progress with Semyon Klevtsov.