Topology of dynamically convex contact manifolds

par Shahnaz Shamim Shahul

mardi 26 mai 2026, 11:15 → 12:15 Europe/Paris

1R2-207

Dynamical convexity introduced by Hofer, Wysocki and  Zehnder is a homological version of convexity of contact manifolds that plays an important role in symplectic dynamics and topology. We shall motivate dynamical convexity and a stronger version of dynamical convexity using algebraic geometry and give examples. Afterwards we will look at the obstructions imposed by dynamical convexity on the topology and fillability of contact manifolds. In particular I will sketch a proof that unit cotangent bundles cannot be strongly dynamically convex. If time permits, I will show how symplectic homology with local coefficients can help in studying homotopy groups of dynamically convex contact manifolds and their fillings.