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

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.

Please click here to make changes to, or delete, this seminar announcement.


Filippo Calderoni

Date posted

Feb 18, 2020

Date updated

Feb 18, 2020


Filippo Calderoni | (UIC)