Logic Seminar
Filippo Calderoni
UIC
Borel structures on the space of left-orderings
Abstract: 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.
Tuesday February 18, 2020 at 3:00 PM in 427 SEO