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

Location

427 SEO

Address

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.

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Contact

Filippo Calderoni

Date posted

Feb 18, 2020

Date updated

Feb 18, 2020

Speakers

Filippo Calderoni | (UIC)