Title:
Magnetic Laplacian: from topological quantization to semi-classical analysis

Abstract:

This two-times talk is organized as follows:
First we will introduce the basics issues, mathematical as well physical, 
of the magnetic Laplacian: Quantum Hall systems, Supra-conductivity, 
non-commutative algebras, spectral analysis etc...
Secondly we will introduce, using simple models the particularities of 
this subtle object. We will focus us on two rather recent results:
Existence of a pure magnetic topologically quantized transport 
and semi-classical analysis.
As conclusion we will give an answer to Montgommery problem:
“ Can we hear the Zero locus of a magnetic field?”