Math 223D - Winter 2019
Our topic will be orbit equivalence of ergodic equivalence relations. This area has applications in group theory, von Neumann algebras, and descriptive set theory. We'll start by proving the theorem of Ornstein and Weiss that all ergodic pmp actions of amenable groups are orbit equivalent. We will then move to study the chaos and rigidity that exists in the nonamenable realm.
Location: The course meets MWF at 9am in MS 5203.
Office Hours: by appointment.
Some references: