The summer school addresses doctoral students and postdoctoral researchers, and also welcomes more experienced scientists.
In addition to the three lecture series, there is time for a limited number of talks by participants.
David Borthwick
(Emory University)

Resonances in Geometric Scattering Theory

Tanya Christiansen
(University of Missouri)

Resonances and Schrödinger Operators

David Hasler
(Friedrich Schiller University Jena)

Random Schrödinger Operators

Recommended background knowledge: (
close)
 Measure Theory and Integration
 Basics of Banach and Hilbert Spaces
 Basics of Functional Analysis
 Bounded linear operators
 Selfadjoint operators
 Compact operators
 Spectrum of a bounded operator
 Spectral theorem for bounded operators
 Stone's theorem
 Schrödinger operator basics
 Schrödinger operator as a selfadjoint operator
 Scattering theory for Schrödinger operator (resolvent, scattering matrix)
 Definition of a scattering resonance
 Laplacian on a Riemannian manifold
 Definition
 Selfadjointness
 Spectrum on compact versus noncompact manifolds
 Complex analysis
 Analytic functions
 Meromorphic functions
 Laurent series
 Differential geometry
 Definition of Riemannian metric, Riemannian manifolds, (geodesic) completeness
 Definition of constant curvature spaces (esp. Poincaré plane and upper Poincaré halfspace)
 Discrete group actions
 Limit sets
 Convex cocompact hyperbolic manifolds