College of Liberal Arts & Sciences
Operator Theory Seminar
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