Feb 18 2020

# Logic Seminar: Borel structures on the space of left-orderings, by Filippo Calderoni

February 18, 2020

3:00 PM - 3:50 PM

427 SEO

Chicago, IL

## Calendar

Filippo Calderoni (UIC): Borel structures on the space of left-orderings

In this work we address a question of Deroin, Navas, and Rivas. We discuss how descriptive set theory can be used to find many examples of countable left-orderable groups such that the quotient space $\mathrm{LO}(G)/G$ is not standard.
Moreover, we prove that the countable Borel equivalence relation induced from the conjugacy action of $\mathbb{F}_{2}$ on $\mathrm{LO}(\mathbb{F}_{2})$ is universal. This is joint work with Adam Clay.

## Contact

Filippo Calderoni

Feb 18, 2020

Feb 18, 2020