[Topology.beta] Announcement: Talk by Valerio Assenza

[Benedetti, G. (Gabriele)]

Dear all,

Valerio Assenza from the University of Heidelberg will give a talk
On Tuesday October 4, at 3pm in the MathLab.
Below you find the title and abstract.
Starting from 17:30 we will have drinks at Deboele bar and then move to Market 33 for dinner.

Hope to see many of you there!

Best wishes,

Gabriele

Title:
Magnetic Curvature and Existence of Closed Magnetic Geodesic



Abstract:

A Magnetic System is the toy model for the motion of a charged particle moving on a Riemannian Manifold endowed with a magnetic field.
Solutions for such systems are called Magnetic Geodesic and preserve the Kinetic Energy. One of the most relevant investigative interest in the theory is to understand the existence and in case the topological nature of Closed Magnetic Geodesics (periodic solutions) in a given level of the energy. I will introduce the Magnetic Curvature, an object which encodes the geometrical properties coming from the Riemannian Curvature structure together with terms of perturbation due to the magnetic interaction. We will see how a positive curved Magnetic System carries a Contractible Closed Magnetic Geodesic for small energies.

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