Workshop on the H-Principle and Beyond

Explore advanced mathematical concepts in this comprehensive workshop featuring 17 specialized lectures on the h-principle and related topics in differential geometry, topology, and mathematical physics. Delve into cutting-edge research presentations covering overtwisted contact structures, Euler flows through contact geometry, local flexibility in partial differential relations, and Mather-Thurston theory applications. Examine holonomic approximation techniques, Beltrami field complexity, chaos in incompressible Euler equations on high-dimensional manifolds, and caustic flexibility with practical applications. Investigate controlled versions of the Mather-Thurston theorem, Hamiltonian geometry in compressible fluid dynamics, and regularity properties of embedded Poincaré disk limit sets. Study topological approaches to the Monge-Ampère equation without convexity assumptions, ampleness concepts in differential topology, and insights into the restricted 3-body problem. Learn about h-principles for locally conformal symplectic structures, flexibilization as localization processes, geometry-grounded problems involving PDEs and dynamics, and flexibility concepts in C^0 symplectic geometry. Gain exposure to state-of-the-art mathematical research from leading experts in differential topology, contact geometry, symplectic geometry, and dynamical systems theory.