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Explore equivariant Lagrangian non-displacement theory in this 29-minute conference talk from the IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar. Delve into the application of Lagrangian Floer theory for detecting non-displaceability of Lagrangian submanifolds via Hamiltonian isotopies, with particular focus on the question of equivariant displaceability in the presence of group actions. Examine specific settings where the group is ℤ2, using S¹-invariant Lagrangians in ℂⁿ as the key example. Learn about the development of ℤ2-equivariant Floer cohomology following Seidel's construction approach, and discover how computations are performed using Biran-Khanevsky's Floer-Euler class. Understand how this research addresses whether certain Lagrangians can be displaced by Hamiltonian isotopies that commute with group actions, representing joint work with Dylan Cant in the field of symplectic geometry.
