Symmetry and Asymmetry in Dynamics

Symmetry and Asymmetry in Dynamics

Joint Mathematics Meetings via YouTube Direct link

Intro

1 of 14

1 of 14

Intro

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Symmetry and Asymmetry in Dynamics

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  1. 1 Intro
  2. 2 What is symmetry?
  3. 3 What is a dynamical symmetry?
  4. 4 The dynamical symmetry group (f)
  5. 5 Symmetries map orbits to orbits
  6. 6 Symmetries preserve asymptotic dynamical invariants
  7. 7 Example: symmetries preserve Julia sets
  8. 8 Smooth flows and their symmetries
  9. 9 Theme: symmetries are special
  10. 10 Hamiltonian dynamics
  11. 11 Noether's Theorem (1915)
  12. 12 Smale's conjecture
  13. 13 Kopell's Theorem (1970)
  14. 14 Symmetry rigidity: project with D. Damjanović and D. Xu

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