Anton Gorodetski: Dynamical Methods in Spectral Theory of Ergodic Schrodinger Operators

Date: 2023-04-27

Time: 13:00 - 14:00


Anton Gorodetski, University of California Irvine


We will present a survey of classical and recent results on topological structure of the spectrum of ergodic Schrodinger operators, and show how to reformulate these results in the language of dynamical systems. Among others we will mention Almost Mathieu Operator, Anderson Model, and Fibonacci Hamiltonian. After that we will discuss a recent result on the topology of the spectrum of ergodic Schrodinger operators with iid random noise (joint with A.Avila and D.Damanik).