Topics to be covered include:

-) Introduction to lattice Schroedinger operators.

-) Disordered systems. Anderson localization, supersymmetric mapping.

-) Topological transport, bulk-edge duality.

-) Many-body systems, renormalization group.

References:

-) Aizenman, Graf. Localization bounds for an electron gas. J. Phys. A: Math. Gen. 31 (1998)

-) Aizenman, Warzel. Random operators. AMS.

-) Bauerschmidt, Brydges, Slade. Introduction to a renormalisation group method. Springer.

-) Efetov. Supersymmetry in disorder and chaos. Cambridge University Press.

-) Graf, Porta. Bulk-edge correspondence for two-dimensional topological insulators. Comm. Math. Phys. 324 (2013)

-) Mastropietro. Nonperturbative renormalization. World Scientific.

-) Teschl. Mathematical methods in quantum mechanics. AMS.

Lecture period: May 19 - June 26. Duration: 30 hours.

Tuesday, 15:00-17:00

Thursday, 15:00-17:00

There will be two additional lectures, taking place on:

Friday May 29, 10:00-12:00

Friday June 12, 10:00-12:00