DIFFERENTIAL EQUATION SEMINAR
Department of Mathematics
University of Rome Tor Vergata

Date: Tuesday,  12th April 2022
Time: 16:00-17:00  (Time in Rome, Italy)
Where: Aula Dal Passo  (+ Streaming via Microsoft Teams, see link below)

Speaker: Valerio Assenza (Heidelberg University, Germany)

Title:  Magnetic Curvature and Closed Magnetic Geodesic

Abstract:

A Magnetic System describes the motion of a charged particle moving on a Riemannian Manifold under the influence of a magnetic field. Trajectories for this dynamics are called Magnetic Geodesics and one of the main tasks in the theory is to investigate the existence of Magnetic Geodesic which are closed. In general this depends on the magnetic system taken into account and on the topology of the base space. Inspired by the work of Bahri and Taimanov, I will introduce the notion of Magnetic Curvature which is a perturbation of the standard Riemannian curvature due to the magnetic interaction. We will see that Closed Magnetic Geodesic exist when the Magnetic Curvature is positive, which happens , for instance, when the magnetic field is sufficiently strong.


Note: This talk is part of the activity of the MIUR Department of Excellence Project MATH@TOV CUP E83C18000100006

MS Teams Link:
https://teams.microsoft.com/l/meetup-join/19%3a7f273a2aff1145dfae91372d186b1cd9%40thread.tacv2/1649176994836?context=%7b%22Tid%22%3a%2224c5be2a-d764-40c5-9975-82d08ae47d0e%22%2c%22Oid%22%3a%22d37d6fea-2e4d-4c35-88e4-99bf4cf68fe9%22%7d
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