Mathematical physics of anyons and topological states of matter

Europe/Stockholm
122:026 (Nordita, Stockholm)

122:026

Nordita, Stockholm

Douglas Lundholm, Michele Correggi, Nicolas Rougerie
Description

Venue

Nordita, Stockholm, Sweden

This will be a satellite event to the program "Spectral Methods in Mathematical Physics" of the Mittag-Leffler Institute which runs during January-April and includes a workshop on "Many-body theory, effective equations & PDE’s" in the following week, March 18-22. (See mittag-leffler.se/langa-program/spectral-methods-mathematical-physics)

Goal and purpose of the event

For quantum systems confined to lower-dimensional geometries there is a possibility to create states of matter that display very non-trivial topological behavior. The most famous example is the fractional quantum Hall effect and its associated effective particles with unusual statistics, called anyons. Despite such models having been studied intensively by physicists for a long time, there has been very little progress on the rigorous mathematical side. The aim of the workshop is therefore to bring together leading experts in the field, both mathematicians and physicists, to summarize the state of the art and to exchange ideas on future directions. In view of the serious theoretical intricacies of the field, particular emphasis will be put on the possible use of recent rigorous mathematics in physical applications.

Organizing committee

  • Michele Correggi (Rome, Italy)
  • Douglas Lundholm (Stockholm, Sweden)
  • Nicolas Rougerie (Grenoble, France)

Scientific committee

  • Stephane Ouvry (Orsay, France)
  • Jan Philip Solovej (Copenhagen, Denmark)
  • Susanne Viefers (Oslo, Norway)

Confirmed participants

  • Joseph Avron (Technion, Haifa, Israel)
  • Romain Duboscq (Toulouse, France)
  • Giuseppe de Nittis (Santiago, Chile)
  • Emanuela Giacomelli (Tübingen, Germany)
  • Théotime Girardot (Grenoble, France)
  • Gerald Goldin (Rutgers, USA)
  • Gian Michele Graf (ETH Zurich, Switzerland)
  • Oded Kenneth (Technion, Haifa, Israel)
  • Edwin Langmann (Stockholm, Sweden)
  • Simon Larson (Stockholm, Sweden)
  • Jan Myrheim (Trondheim, Norway)
  • Anne B. Nielsen (Dresden, Germany)
  • Luca Oddis (Rome, Italy)
  • Alessandro Olgiati (Grenoble, France)
  • Gianluca Panati (Rome, Italy)
  • Matthias Plaschke (Vienna, Austria)
  • Alexios Polychronakos (New York, USA)
  • Marcello Porta (Tübingen, Germany)
  • Viktor Qvarfordt (Stockholm, Sweden)
  • Steven Simon (Oxford, UK)
  • Yoran Tournois (Stockholm, Sweden)
  • Andrea Trombettoni (Trieste, Italy)
  • Enderalp Yakaboylu (Vienna, Austria)
  • Jakob Yngvason (Vienna, Austria)

Due to the limited capacity of the seminar room, please check with the organizers concerning possibility of participation.

Schedule with abstracts

Some nearby restaurants

Info about the dinner cruise on Thursday

Slides from the talks:

Arkeryd
Avron
Correggi
Duboscq
Goldin
Graf
Kenneth
Langmann
Larson
Nielsen
Oddis
Ouvry
Panati
Plaschke
Polychronakos
Porta
Qvarfordt
Rajaratnam
Tournois
Trombettoni
Yakaboylu
Yngvason

Sponsored by:

Nordita GG Sponsored by a prize from the Göran Gustafsson Foundation

    • 10:00 AM 10:30 AM
      Opening 30m 132:028

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    • 10:30 AM 11:20 AM
      (no title) 50m 132:028

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      Speaker: J.P. SOLOVEJ
    • 11:20 AM 11:40 AM
      Coffee break 20m 132:028

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    • 11:40 AM 12:30 PM
      Group-Theoretical Approach to Anyons and Topological Quantum Configurations 50m 132:028

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      Speaker: G. GOLDIN
    • 12:30 PM 2:30 PM
      Lunch Break 2h Albanova Restaurant

      Albanova Restaurant

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    • 2:30 PM 3:20 PM
      Emergent Gauge Fields and Anyons in Quantum Impurity Problems 50m 132:028

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      Speaker: E. YAKABOYLU
    • 3:20 PM 3:40 PM
      Coffee break 20m 132:028

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    • 3:40 PM 4:30 PM
      Exclusion Bounds for Extended Anyons 50m 132:028

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      Speaker: S. LARSON
    • 4:40 PM 5:30 PM
      The Calogero Model: Physics, Mathematics and Recent Results 50m 132:028

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      Speaker: A. POLYCHRONAKOS
    • 6:00 PM 7:00 PM
      Reception 1h Albanova entrance

      Albanova entrance

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    • 9:30 AM 10:20 AM
      Anyons in Algebraic Quantum Field Theory 50m 132:028

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      Speaker: J. YNGVASON
    • 10:20 AM 10:40 AM
      Coffee break 20m 132:028

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    • 10:40 AM 11:30 AM
      On Some Methods for the Numerical Simulation of Quantum Systems 50m 132:028

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      Speaker: R. DUBOSCQ
    • 11:40 AM 12:30 PM
      The Boltzmann Haldane Equation for Anyons - Mathematical Results 50m 132:028

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      Speaker: L. ARKERYD
    • 12:30 PM 2:30 PM
      Lunch Break 2h Albanova restaurant

      Albanova restaurant

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    • 2:30 PM 3:20 PM
      Deformed Calogero-Sutherland Model and Fractional Quantum Hall Effect 50m 132:028

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      Speaker: E. LANGMANN
    • 3:20 PM 3:40 PM
      Coffee break 20m 132:028

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    • 3:40 PM 4:30 PM
      Vortex Lattice Solutions of the ZHK Chern-Simons Equations 50m 132:028

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      Speaker: K. RAJARATNAM
    • 4:40 PM 5:30 PM
      Stability of the Laughlin Phase in Presence of Interactions 50m 132:028

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      Speaker: A. OLGIATI
    • 9:30 AM 10:20 AM
      Quantized Hall Conductance for Large Interacting Systems 50m 132:028

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      Speaker: J. AVRON
    • 10:20 AM 10:40 AM
      Coffee break 20m 132:028

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    • 10:40 AM 11:30 AM
      Anyons and Lowest Landau Level Anyons 50m 132:028

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      Speaker: S. OUVRY
    • 11:40 AM 12:30 PM
      Local Anyon on the Universal Covering of the Circle leading to Cone-local Anyons on R^2 50m 132:028

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      Speaker: M. PLASCHKE
    • 12:30 PM 7:30 PM
      Free afternoon 7h 122:026

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    • 7:30 PM 10:30 PM
      Social dinner 3h Aifur

      Aifur

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    • 9:30 AM 10:20 AM
      Disorder and Topology. The Cases of Floquet and of Chiral Systems 50m 132:028

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      Speaker: G.M. GRAF
    • 10:20 AM 10:40 AM
      Coffee break 20m 132:028

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    • 10:40 AM 11:30 AM
      Anyons in Fractional Quantum Hall Models 50m 132:028

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      Speaker: A.B. NIELSEN
    • 11:40 AM 12:30 PM
      A Simple Model Leading to Nonabelian Anyon Behaviour 50m 132:028

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      Speaker: O. KENNETH
    • 12:30 PM 2:30 PM
      Lunch Break 2h Albanova restaurant

      Albanova restaurant

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    • 2:30 PM 3:20 PM
      Quadratic Forms for Anyons 50m 132:028

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      Speaker: L. ODDIS
    • 3:20 PM 3:40 PM
      Coffee break 20m 132:028

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    • 3:40 PM 4:30 PM
      Non-Abelian Anyons: Statistical Repulsion and Topological Quantum Computation 50m 132:028

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      Speaker: V. QVARFORDT
    • 4:40 PM 5:30 PM
      Edge Universality in Interacting Topological Insulators 50m 132:028

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      Speaker: M. PORTA
    • 7:00 PM 10:30 PM
      Dinner cruise 3h 30m Strandvägen

      Strandvägen

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    • 9:30 AM 10:20 AM
      The Localization-Topology Correspondence: Periodic Systems and Beyond 50m 132:028

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      Speaker: G. PANATI
    • 10:20 AM 10:40 AM
      Coffee break 20m 132:028

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    • 10:40 AM 11:30 AM
      Non-abelian Anyons in Paired Spin-singlet States 50m 132:028

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      Speaker: Y. TOURNOIS
    • 11:40 AM 12:30 PM
      O-Diagonal Long-Range Order in Low-Dimensional Quantum Systems 50m 132:028

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      Speaker: A. TROMBETTONI
    • 12:30 PM 2:30 PM
      Lunch Break 2h Albanova restaurant

      Albanova restaurant

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    • 2:30 PM 6:30 PM
      Discussions & closing 4h 132:028

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