Systolic Inequalities for S1-invariant Contact Forms in Three-Dimensional Geometry

Explore a research talk from the Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar where Simon Vialaret from Université Paris-Saclay presents findings on systolic inequalities in contact geometry. Learn about the relationship between periodic Reeb orbits and contact forms with fixed volume on manifolds, with a specific focus on contact forms that are invariant under circle action in three dimensions. Discover how this mathematical concept extends from Riemannian geometry and understand why systolic inequalities cannot be universally applied to all contact forms on contact manifolds.