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Hamiltonian dynamics and extension of symplectic/contact forms.

Connections for Women: Hamiltonian Systems, from topology to applications through analysis August 16, 2018 - August 17, 2018

August 17, 2018 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Emmy Murphy (Northwestern University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • symplectic

  • contact

  • Hamiltonian

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Abstract

In both symplectic and contact geometry, the suspension of a Hamiltonian flow defines a germ of a symplectic/contact structure near a hypersurface. Additionally, questions about whether this germ extends to a compact set are related to questions about which flows are generated by positive Hamiltonians. We'll then explain how in the contact case this can be used to prove a general extension result, and why the same strategy fails in the symplectic case.

Supplements
31783?type=thumb Notes 1.28 MB application/pdf Download
Video/Audio Files

6-Murphy

H.264 Video 6-Murphy.mp4 413 MB video/mp4 Download
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