Time and location: Friday 2-3 pm, at 233 Lockett Hall
References (will be updated along with the process):
Methods of Modern Mathematical Physics, Volume I: Functional Analysis, by M. Reed and B. Simon
Mathematical Methods in Quantum Mechanics With Applications to Schrödinger Operators, by G. Teschl
An Invitation to Random Schrödinger operators, by W. Kirsch
Schedule (starting Sep 17, 2021, tentative):
Weeks 1-3: Hilbert space, spectral theorems, and functional calculus, speaker: Rui Han
Week 5: RAGE theorem, speaker: Jorge Villalobos
Week 6: ergodic Schrödinger operators and the Anderson model, speaker: Stephen Shipman
Week 7: integrated density of states, speaker: Fan Yang
Week 8: Wegner estimates, speaker: Fan Yang
Weeks 9-11: localization for the Anderson model in Z^d