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