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Nishant Chandgotia, Tata institute in India – Ergodic Theory Seminar
October 27 @ 3:00 pm - 4:00 pm
Title: About Borel and almost Borel embeddings for ZD actions
Abstract:Krieger’s generator theorem says that all free ergodic measure preserving actions (under natural entropy constraints) can be modelled by a full shift. Following results by Anush Tserunyan and answering a question by Benjamin Weiss, in a sequence of two papers Mike Hochman noticed that this theorem can be strengthened: He showed that all free homeomorphisms of a Polish space (under entropy constraints) can be Borel embedded into the full shift. In this talk we will discuss some results along this line from a recent paper with Tom Meyerovitch and ongoing work with Spencer Unger.