Explore a 57-minute lecture by Eusebio Gardella from Chalmers University of Technology and University of Gothenburg, delivered on September 1, 2023, as part of the Workshop on Operator Algebras and Applications: Connections with Logic at the Fields Institute. Delve into the intricacies of conjugacy and orbit equivalence for free ergodic actions, a topic at the intersection of operator algebras and logic. Gain insights from this presentation, which is part of the broader Thematic Program on Operator Algebras and Applications. For a detailed abstract and additional information about the workshop and thematic program, visit the provided links.