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In this lecture from the IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar, explore new infinite symplectic staircases with speaker Joé Brendel from ETH Zurich. Discover recent progress in the study of infinite symplectic staircases arising from embedding problems of standard ellipsoids into various symplectic four-manifolds. Learn about new embedding problems involving "ellipsoid-like" neighbourhoods of Lagrangian pinwheels instead of standard ellipsoids. Through almost toric fibrations, understand how every Lagrangian pinwheel in the complex projective plane (and thus every Markov number) has an infinite symplectic staircase. This presentation covers joint work with Jonny Evans, Johannes Hauber and Felix Schlenk, offering advanced insights into symplectic geometry research.
