Operator Theory Seminar

Speaker: 
Philipp Kunde, Penn State University
Topic: 
Smooth realization of some spectral properties

Abstract:

One of the main problems in the spectral theory of dynamical systems at the interface of unitary operator theory and ergodic theory is the question about possible spectral properties for a Koopman operator associated with a measure-preserving transformation. More specifically, one can search for transformations $T$ possessing specific essential values $\mathcal{M}_{U_T}$ of the spectral multiplicities. Over the past years, impressive progress concerning this question has been made.

Another important question in ergodic theory asks if there are smooth versions to the objects and concepts of abstract ergodic theory. In this talk we present some results and open problems on the smooth realization of transformations with specific spectral properties.

Zoom Meeting: 952 1767 4506

Event Date: 
September 29, 2020 - 1:30pm to 2:20pm
Location: 
Online & 309 VAN
Calendar Category: 
Seminar
Seminar Category: 
Operator Theory