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Massimo Moscolari: An introduction to the localization dichotomy

Time: Wed 2019-04-17 17.00 - 18.00

Location: Seminar Hall Kuskvillan, Institut Mittag-Leffler

Participating: Massimo Moscolari, Sapienza University of Rome

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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.

After Seminar Pizza