Dr. Sergey Morozov
Mathematisches Institut der Universität München
Theresienstr. 39
D-80333 München
Email: morozov@math.lmu.de
Tel: +49 (0)89 2180 4404
Fax: +49 (0)89 2180 4032
Büro: Block B, 4. Stock, 404
Arbeitsgruppe Analysis
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Spectral Theory of Periodic Operators
The course is devoted to the study of spectral properties of self-adjoint operators commuting with translations in one or several dimensions. We will start from the Floquet-Bloch theory which allows to decompose such operators into direct integrals and deduce the band structure of their spectra. Then we will study the behavior of the band functions for particular classes of models and discuss the questions of absolute continuity of their spectra, location and absence of spectral gaps, overlapping of the band functions and the behavior of the density of states.
The first lecture will take place on Friday, 11 April, 14-16, HS B039
From the second week on, the schedule is:
Lectures: Mo 14-16, HS B039
Exercises: Fr 14-16, HS B039
