# Massimo Moscolari: An introduction to the localization dichotomy

**Time: **
Wed 2019-04-17 17.00 - 18.00

**Lecturer: **
Massimo Moscolari, Sapienza University of Rome

**Location: ** Seminar Hall Kuskvillan, Institut Mittag-Leffler

In 2016 a localization dichotomy result for periodic Schrödinger operators has been proved. This result shows that the localization properties of the Wannier functions associated to a periodic Schrödinger operator are deeply connected to the topological properties of the quantum system.

After a short and informal introduction about periodic Schrödinger operators and Wannier functions, I will explain the localization dichotomy result and I will discuss the possibility of extending it to a generic non-periodic setting, which is a work in progress with G. Marcelli and G. Panati.

**18****:00**

**After Seminar Pizza**