Anderson localization for random Schrödinger operators

DATES: February 07-11, 2022 (5 sessions)
TIME: Monday 10:00-12:30, Tuesday 9:30-10:00 and Wednesday to Friday 10:00-12:00 (a total of 10 hours)
LOCATION: BCAM and Online

ABSTRACT:
Random Schrödinger operators are used in physics to model electrodynamics in disordered media. Their mathematical theory is at the crossroads of several mathematical domains, especially spectral theory and probabilities. I will present the bases of this theory, including the celebrated result called "Anderson localization", which is the fact that conducting materials become insulators when they are disordered."

PREREQUISITES:
Although a short reminder will be provided, it is recommended to have some elementary knowledge about spectral theory of bounded operators and probability.

REFERENCES:
W. Kirsch An invitation to random Schrödinger operators, in Random Schrödinger Operators, vol. 25 of Panoramas et Synthéses, Société Mathámatique de France, 2008


*Registration is free, but mandatory before February 1st. To sign-up go to https://forms.gle/jZJZZuPJWT78pkJa8 and fill the registration form.

• BCAM-Course_20220207