Department of Mathematics,
University of California San Diego
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Math 243: Seminar in Functional Analysis
Filippo Calderoni
Rutgers University
Set theoretic rigidity for countable group actions
Abstract:
The theory of countable Borel equivalence relations analyzes the actions of countable groups on Polish spaces. The main question studied is how much information is encoded by the corresponding orbit space. The amount of encoded information reflects the extent to which the action is rigid.
In this talk we will discuss rigidity results in the theory of countable Borel equivalence relations. While the first rigidity results by Adams and Kechris use Zimmer's work, more recent results are based on newer cocycle superrigidity theorems, hinting at a deeper interplay than what we currently know. We will also discuss open questions and new directions in set theoretic rigidity.
March 11, 2025
11:00 AM
APM 7218
Research Areas
Functional Analysis / Operator Theory****************************
