Mathematics Department - Special Seminars - Fall 2009
Special Seminars - Fall 2009
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Thursday, October 22nd
Special Special Seminars
Inessa Epstein, Cal Tech
" Orbit equivalence and ergodic theory"
Time: 10:30 AM
Location: Hill 525
Abstract: The study of orbit equivalence and rigidity has become an important meeting point for functional analysts, geometric groups theorists and descriptive set theorists. We consider actions of countable groups on standard probability spaces and consider two such actions to be orbit equivalent if their orbit equivalence relations can be measurably identified almost everywhere. Orbit equivalence has a strong connection to operator algebras, which was first exhibited by Murray and von Neumann in 1936. We discuss the history of the work problem concerning the number of orbit inequivalent actions of a given group and culminate the talk with an answer that provides a dichotomy.
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