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Explore a mathematical seminar presentation that addresses a fundamental question in symplectic geometry regarding Gromov widths of cohomologous symplectic forms. Learn how the Gromov width serves as one of the most important symplectic capacities for closed symplectic manifolds, measuring the size of the largest embedded symplectic ball while remaining sensitive to perturbations of symplectic forms. Discover the solution to Problem 46 from McDuff-Salamon's problem list, which asks whether cohomologous symplectic forms can have different Gromov widths. Understand how to construct examples in dimension 6 from dimension 4 by adapting Ruan's early example of deformation inequivalent symplectic forms. Gain insights into advanced techniques in symplectic geometry and the relationship between cohomology classes and symplectic capacities through this hour-long mathematical presentation delivered as part of the Joint IAS/PU Symplectic Geometry Seminar series.
