Borel combinatorics and ergodic theory conference

The study of measurable group actions on standard Borel spaces is of central importance both in descriptive set theory and ergodic theory.
In recent years, the study of (definable) combinatorial structures (such as graphs, simplicial complexes, geometric objects...) has shown itself to be a powerful tool for understanding group actions and also to see what aspects of finite combinatorics generalize into the descriptive milieu. Typical problems to consider are how many colors it takes to color a graph, whether a graph admits a matching or a spanning subtree, what is the smallest dimension of a contractible structure on the orbits, which kinds of geometric group theoretic notions are invariant under orbit equivalence, classification of groups up to orbit equivalence, analysis of full groups of equivalence relations, etc.
In this conference we intend to bring together researchers investigating the abstract combinatorial structures with researchers investigating their incarnations in ergodic theory.