Hahn meromorphic functions and their application to scattering theory

Alexander Strohmaier, University of Leeds. Part of the mathematics pure colloquium.

I will review some basic theorems in stationary scattering theory of the Schrödinger operator and explain the importance of the meromorphic Fredholm theorem in this context. I will then introduce a new ring of functions that allows to analyse the singularity of the resolvent of the Schrödinger operator near the bottom of the continuous spectrum. The talk will be kept at an elementary level and will not require expertise in scattering theory. (based on joint work with J. Müller)

Alexander Strohmaier, University of Leeds