Rigidity and flexibility in dynamical systems

  • 1 March 2023
  • 1400-1500
  • Sch 0.13

Selim Ghazouani (UCL)

I will discuss the following question: is it the same thing for two dynamical systems to be topologically conjugate(ie topologically equivalent) and to be differentiable conjugate (ie geometrically equivalent)?
Those for which the answer is yes are called rigid, and those for which the answer is no are called flexible. Prime examples of rigid stuff are rotations on the circle whereas instances of flexible dynamical systems are given by expanding maps of the circle, Anosov maps or geodesic flows.
I will give some motivation to study these rigidity/flexibility questions, survey classes of dynamical systems which are known to be either rigid or flexible and formulate interesting open problems.

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