Rigidity and diffusion phenomena in Dynamical Systems encompass a variety of ideas that have, over decades, inspired several generations of researchers, sparked intriguing conjectures, and produced a wealth of groundbreaking papers.

Rigidity asserts that certain special characteristics of a system are enough to identify it among a large class of systems. One of the most famous conjectures in dynamical rigidity is the Birkhoff conjecture, which claims that the only integrable billiards are ellipses. A closely related question, "Can you hear the shape of a drum?" asks whether Laplace spectral information determines the shape of the billiard. Many recent results toward these two questions will be featured at this workshop.

A flip side of integrability and rigidity is the question of diffusion, which asserts that a typical perturbation can destroy integrability. This has been one of the central questions in Hamiltonian systems since Poincaré. Our workshop will also feature recent progress in diffusion and instability, including its important applications to celestial mechanics. 

In addition, the workshop will represent a wide range of areas within Hamiltonian systems and dynamics overall, including KAM theory,  exponentially small splitting, universal dynamics, scattering by resonances, weak KAM theory and symplectic dynamics.

We aim to facilitate collaborative exchange between researchers working in these fields and related disciplines, cultivating interdisciplinary dialogue. We are committed to nurturing the next generation of researchers by actively encouraging the participation of graduate students, postdoctoral fellows and emerging scholars.