A 2-week summer school will take place at UC Irvine from Aug. 14 – 25, 2017. The topic of the school will be classification problems in ergodic theory. Lectures will be given by Peter Burton, Matt Foreman, and Brandon Seward.
- The first week will treat positive classification results and associated tools. We will primarily focus on entropy theory, starting with the classical entropy theory for actions of countable amenable groups and ending with the quite recent developments of entropy theory for actions of countable non-amenable groups (in particular sofic groups).
- The second week will be concerned with anti-classification results: results showing that classifications are not possible with countable resources. We begin with a review of naive descriptive set theory and then discuss classification in this framework. We proceed to show that the classification problem is not solvable for Z-actions, even of real analytic diffeomorphisms of the torus. Finally, we place the classification problems in the hierarchy of analytic equivalence relations under Borel reducibility.
The deadline for applications is May 15, however late applications will still be considered on a case-by-case basis. Funding is available for US citizens and permanent residents (per grant restrictions). More information can be found here: