Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, A. Deruelle, E. Di Nezza, I. Itenberg, X. Ma
Email des responsables : {olivier.biquard, alix.deruelle, eleonora.dinezza, ilia.itenberg, xiaonan.ma}@imj-prg.fr
Salle : 15–25.502
Adresse :Jussieu
Description

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Orateur(s) Semyon Klevtsov - Strasbourg,
Titre How many electrons can dance on a Riemann surface (and on CP²)?
Date09/12/2020
Horaire15:45 à 17:00
Diffusion
RésumeFractional quantum Hall effect (FQHE) is a striking experiment, where quantisation phenomena are observed in a lab in a macroscopic system. FQHE is described by Laughlin’s wave functions of N electrons, which physicists prefer to consider on a compact Riemann surface to study analytically. We define these wave functions mathematically and settle the Wen-Niu (1990) conjecture about their topological degeneracy. Work in progress with Dimitri Zvonkine. Time permitting, I will talk about attempts to define these states in complex dimension two (work in progress w/ Mike Douglas and Jie Wang).
Salle15–25.502
AdresseJussieu
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