Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Singularities in Poisson manifolds: bifurcation and symmetry breaking

Singularities in Poisson manifolds: bifurcation and symmetry breaking

Hamiltonian systems, from topology to applications through analysis II November 26, 2018 - November 30, 2018

November 28, 2018 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Zensho Yoshida (University of Tokyo)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Poisson algebra

  • singularities

  • chirality

  • bifurcation

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

10-Yoshida

Abstract

A variety of interesting structures and dynamics stem from singularities of Poisson operators. As well known, the kernel of a finite-dimensional Poisson operator can be integrated “locally” to define Casimirs, and their level-sets foliate the phase space yielding symplectic submanifolds (Lie-Darboux theorem). However, the global structure can be more complex when the Poisson operator has “singularities” where its rank changes. Invoking some physical examples (both finite dimensional and infinite dimensional), we discuss how singularities cause seemingly non-Hamiltonian phenomena. Some theoretical methods for probing into singularities will be also introduced.

Supplements
Asset no preview Notes 1.29 MB application/pdf Download
Video/Audio Files

10-Yoshida

H.264 Video 10-Yoshida.mp4 433 MB video/mp4 Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath Videos page.