Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, November 13, 2019.

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Wednesday, November 13, 2019

3:00 pm in 241 Altgeld Hall,Wednesday, November 13, 2019

#### Uniformly ergodic hyperfinite subequivalence relations

###### Anush Tserunyan (UIUC Math)

Abstract: Given a countable Borel equivalence relation $E$ on a standard Borel space, we give a construction of a hyperfinite subequivalence relation $F \subseteq E$ such that every $E$-invariant $E$-ergodic probability measure $\nu$ is also $F$-ergodic. The construction also yields the uniform ergodic decomposition theorem for $E$.