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High-dimensional families of holomorphic curves and three-dimensional energy surfaces (Rohli Prasad)
Speaker: Rohil Prasad

Abstract: Let H be a smooth autonomous Hamiltonian on R^4. We will discuss some new theorems about the Hamiltonian flow of H. One gives a strong generalization of the Fish-Hofer existence theorem for invariant sets. Another gives a sharp quantitative refinement, in four dimensions, of Hofer-Zehnder's "almost existence" theorem for periodic orbits.

Date : Wed, Jul 10

Time: 11:15

Place: Seminar room 4