Non-Squeezing and Other Global Rigidity Results on Locally Conformal Symplectic Manifolds

Explore advanced mathematical concepts in this conference talk from the X Workshop on Conservative Dynamics and Symplectic Geometry, where Sheila Sandon from the University of Strasbourg presents research on non-squeezing and global rigidity results on locally conformal symplectic manifolds. Delve into cutting-edge developments in symplectic topology and its applications to Hamiltonian dynamics as part of this prestigious workshop celebrating 20 years of bringing together experts in conservative dynamics and symplectic geometry. Learn about the mathematical foundations and recent advances in locally conformal symplectic geometry, with particular focus on non-squeezing phenomena and global rigidity properties that have important implications for understanding the geometric constraints in symplectic systems. Gain insights into how these theoretical results connect to broader areas including contact geometry, dynamics of Lagrangian systems, twist maps, integrable systems, and Aubry-Mather theory, as presented at this special edition workshop held at the Instituto de Matemática Pura e Aplicada in Rio de Janeiro.