Seminar

An introduction to the localization dichotomy

Spectral Methods in Mathematical Physics

17 April 17:00 - 18:00

Massimo Moscolari - Sapienza University of Rome

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.
Organizers
Søren Fournais
Aarhus University
Rupert Frank
LMU Munich
Benjamin Schlein
University of Zurich, UZH
Simone Warzel
TU Munich

Program
Contact

Rupert Frank

frank@math.lmu.de

Other
information

For practical matters at the Institute, send an e-mail to administration@mittag-leffler.se