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The Arnold Conjecture

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If you have a question about this talk, please contact Julian Wykowski .

Arnold conjectured that the number of fixed points of a Hamiltonian diffeomorphism on a closed symplectic manifold M must (generically) be at least as large as the minimal number of critical points of a Morse function on M. We will give a brief introduction to Hamiltonian dynamics and symplectic geometry. Then we will review some of the known cases of the Arnold conjecture and sketch their proofs.

This talk is part of the Junior Geometry Seminar series.

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