Spectral Theory and pRObability in Mathematical physics (STROM)

May 20 to May 22, 2019


IRMA, Université de Strasbourg

organized by

Nalini Anantharaman, Yohann Le Floch, Martin Vogel, Xiaolin Zeng

This workshop focuses on Spectral Theory and Probability in Mathematical Physics, in particular on Random Matrices, Random Schrödinger Operators and Random waves.

Strasbourg is a lovely town in the northeastern part of France, located at the border with Germany; below you can find some pictures of the city.

Funding: We have additional funding possibilities to cover travel and hotel costs for interested participants. PostDoc and PhD students are particularly invited to apply for funding.

Mini course and talks

Mini course on:

Noncommutative Topology for Aperiodic Systems in Condensed Matter Physics (three mini-courses)

  • Speaker: Jean V BELLISSARD

  • Affiliation:

    • Westfälisched Wilhelm- Universität, Münster, Germany
    • Georgia Institute of Technology, Atlanta GA, USA
  • Abstract:

    1. The Hydrogen atom: Quantum numbers, symmetries, persistence, a motivation for topological invariants. Introduction to K-theory. Observables and K-theory. Quantum numbers and quantum information. Influence of Quantum Chaos, the example of the Hydrogen atom in a strong magnetic field.

    2. Aperiodic materials: (a) examples (b) mathematical description. Homogeneity, translation symmetry, fundamental observables. C*-algebras. Hamiltonian and Energy. Examples of Hamiltonian. Energy spectrum, Cantor spectra. Gap labeling theorems. A list of examples and of results.

    3. A (too) short description of the Integer Quantum Hall Effect. Concept of localization, the Kubo formula. Noncommutative Chern character. Plateaus of conductivity and persistence.


  • Adrian Dietlein Institute of Science and Technology, Austria
  • Raphael Ducatez Université de Genève
  • Maxime Ingremeau Université Côte d’Azur
  • Frédéric Klopp Sorbonne Université
  • Dangzheng Liu University of Science and Technology of China
  • Eugenia Malinnikova Norwegian University of Science and Technology
  • Peter Müller Ludwig-Maximilians Universität München
  • Stéphane Nonnenmacher Université Paris-Sud
  • Constanza Rojas-Molina Heinrich-Heine-Universität, Düsseldorf
  • Charles Smart University of Chicago


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