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Graduate Geometry and Topology Learning Seminar

Arnold conjecture on Hamiltonian orbits

Yuhan Sun - Rutgers University

Location:  Hill 701 (Graduate Student Lounge)
Date & time: Monday, 27 February 2023 at 12:30PM - 1:30PM

Abstract: For a non-degenerate Hamiltonian function H on a closed symplectic manifold M, Arnold conjecture says the number of one-periodic orbits of H is not less than the sum of betti numbers of M. We will give a gentle introduction on the background of this conjecture, and sketch how people have resolved it.