May 20 to May 22, 2019at
IRMA, Université de Strasbourgorganized 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.
Speaker: Jean V BELLISSARD
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.
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.
A (too) short description of the Integer Quantum Hall Effect. Concept of localization, the Kubo formula. Noncommutative Chern character. Plateaus of conductivity and persistence.