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 objective of the Focused Workshop is to bring together experts from dynamical systems, harmonic analysis, and geometric measure theory in order to facilitate progress on this conjecture by gaining a deeper understanding of the connections between these areas.

Trace formulas are a central tool to understand families of automorphic forms. The workshop will gather a team of young and dynamic researchers to foster new projects to obtain arithmetic statistics on automorphic forms for such higher rank groups using the newly available trace formulas.

The logarithmic Brunn-Minkowski conjecture is a fascinating open problem on the borderline of convex geometry, differential geometry and non-linear PDE's. It is asking about a strengthening of the Brunn-Minkowski inequality on the class of symmetric convex bodies. The question is closely related to several open problems in geometry and probability.

The aim of this workshop is to discuss and make progress on open problems related to properties and applications of asymptotic tensor parameters.