Leonardo Macarini - Periodic orbits on symmetric spheres and dynamical convexity
Channel: Centro de Matemática
Date: 2018-11-13

Leonardo Macarini (Universidad Federal do Rio de Janeiro)

Periodic orbits on symmetric spheres and dynamical convexity

I will survey some results on the multiplicity and stability of periodic orbits of Reeb flows on the standard contact sphere. After that, I will discuss recent results, obtained in an ongoing joint work with V. Ginzburg, on the multiplicity of periodic orbits on symmetric strongly dynamically convex spheres and examples of dynamically convex spheres in R^2n (n bigger than 2) that are not equivalent to convex ones via symplectomorphisms that commute with the antipodal map. 

Workshop on Groups, Geometry and Dynamics, 23–27 July 2018, Montevideo, Uruguay.

https://ggdworkshop.cmat.edu.uy/

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