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.
University of Zurich, UZH