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Explore advanced symplectic geometry through this seminar lecture that computes the subleading asymptotics of ECH and elementary ECH capacities of toric domains, demonstrating their recovery of perimeter in the liminf without requiring genericity conditions. Examine the first examples of packing stability failure for compact manifolds with smooth boundary or no boundary, addressing Schlenk's question about this fundamental problem in symplectic topology. Discover applications to long-term super-recurrence and ellipsoid embedding functions, along with connections to symplectic tiling theory. Learn about collaborative research findings with Hind, Magill, and McDuff that advance understanding of ECH capacities and their geometric implications in symplectic manifolds.
