Dynamical Systems Seminar

Title: Descriptive Kakutani equivalence
Speaker: Professor Christian Rosendal
Speaker Info: UIC
Brief Description:
Special Note:

Kakutani equivalence of invertible measure preserving transformations is a long established tool for investigating measurable flows up to time change. We consider a descriptive analogue of this for Borel automorphisms of standard Borel spaces in the absence of a measure. This leads to a complete classification of all Borel automorphisms up to Kakutani equivalence and thus by consequence also a classification of all Borel flows up to a time change. However, automorphisms only represent the beginning of a larger classification program for all (not necessarily invertible) Borel transformations. This is joint work with Benjamin Miller.
Date: Tuesday, February 24, 2009
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Dave McClendon
Contact email: dmm@math.northwestern.edu
Contact Phone: 847-467-1298
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