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Explore the intricacies of Ekeland-Hofer capacities and Gutt-Hutchings capacities in this advanced mathematics lecture. Delve into the construction of these increasing sequences of capacities associated with star-shaped domains in ℝ2n. Learn about the main theorem proving their equivalence, as presented by Jean Gutt from the Institute for Advanced Study. Gain insights into this joint work with Vinicius Ramos, which bridges concepts in symplectic geometry and homology. Participate in this Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar to deepen your understanding of positive S1 equivariant symplectic homology and its applications in advanced mathematical research.
