Abstract: Gromov's celebrated "Nonsqueezing Theorem" states that one cannot "squeeze" a symplectic ball into a thin cylinder using a symplectic transformation. This shows that symplectic diffeomorphisms are more rigid that volume preserving ones, and that there exists a notion of "size" peculiar to symplectic object. In this talk, I will explain the linear version of this theorem.

Everyone interested in symplectic geometry / topology is welcome.