Grushin problems and their applications in spectral theory

Spectral Methods in Mathematical Physics

20 February 17:00 - 18:00

Martin Vogel - Université de Strasbourg, CNRS

The method of Grushin problems has proven itself to be a simple yet very useful tool in the study of spectral problems. Roughly speaking it amounts to extending the operator under consideration to a suitably chosen invertible system of operators. This may then, in combination with Shur's complement formula, reveal detailed spectral information about the operator of interest.
I will give a short survey about the basic ideas underlying such Grushin problems, their connection to analytic Fredholm theory as well as some applications concerning perturbation theory, trace formulae and random matrix theory.
Søren Fournais
Aarhus University
Rupert Frank
LMU Munich
Benjamin Schlein
University of Zurich, UZH
Simone Warzel
TU Munich


Rupert Frank


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