Non-classifiability of K-automorphisms - Lecture on Measure-Preserving Transformations
Simons Semester on Dynamics via YouTube
Overview
Syllabus
Intro
The Isomorphism Problem
Weak Topology on MPT's
What is meant by a classification?
Borel Reduction of Equivalence Relations
Another benchmark: The equivalence relation =+
Borel Equivalence Relations
von Neumann's classification problem is impossible
Several further questions
K-automorphisms
First return map
Some methods for constructing K automorphisms
Classification for Generic Subsets of MPT's
Special flows over a transformation
Even Kakutani Equivalence
Anti-classification results for Kakutani equivalence
Basics of Descriptive Set Theory
Example of an analytic set
Canonical example of a complete analytic set
Non-classifiability of Smooth K-Diffeomorphisms
Taught by
Simons Semester on Dynamics