230120 Dusan Joksimovic

January 20, 2023

Title: C^0-rigidity of presymplectic embeddings

Speaker: Dusan Joksimovic (Starting time: 13:30)

In this talk, we will show that the space of presymplectic embeddings of a closed presymplectic manifold (X, sigma) into a symplectic manifold (M,omega) (of the right dimension) is closed w.r.t the C^0 topology in the space of all embeddings of X into M.

This result encodes several known forms of C^0 rigidity in symplectic geometry due to Eliashberg and Gromov (C^0-rigidity of symplectomorphisms), Laudenbach and Sikorav (C^0-rigidity of Lagrangian embeddings), and partially that of Humiliere, Leclercq, Seyfaddini (C^0-rigidity of coisotropic submanifolds).

The talk is based on joint work in progress with K. Cieliebak and F. Ziltener.

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