Group actions and equivalence relations lie at the intersections of several active research fields, such as descriptive set theory, measurable and topological dynamics, and Borel combinatorics, among others.

The main goal of the focused workshop is to extend Ren and Willis's approach to study exotic manifolds.

The aim is to foster collaboration and explore new connections between the algebraic structure of smooth valuations on convex bodies and the theory of valuations on convex functions.

Focused Workshop on Ramsey Theory and Monochromatic Cycle Partitions

The workshop revolves around the study of Hermitian and symplectic manifolds using cohomological techniques and the existence of special metrics. The participants will attack open problems of recent interest on the Bigolin-Schweitzer complex of a complex manifold, the existence of balanced or pluriclosed metrics and their small deformations, and the relations between such existence and special cohomological properties of the cohomologies of the Bigolin-Schweitzer complex