Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Augsburg Dynamics Days 2024

 

Professor Dr. Urs Frauenfelder
Universität Augsburg
 
spricht am
 
Mittwoch, 14. August 2024
 
um
 
9:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Doubly symmetric orbits are good«

Abstract:
This is joint work with Agustin Moreno. Doubly symmetric periodic orbits play an important role in many problems in celestial mechanics as well as in the dynamics of atoms. For example the direct and retrograde periodic orbit in Hill's lunar problem are doubly symmetric or Langmuir's periodic orbit in the dynamics of the Helium atom is doubly symmetric. In the talk we show that a doubly symmetric periodic orbit is never negative hyperbolic so that all its iterates are good orbits in the sense of Symplectic Field Theory (SFT). The proof of this result uses a real version of Krein theory and the GIT quotient.

For further information, please have a look at our homepage.


 

Hierzu ergeht herzliche Einladung.
PD Dr. Lei Zhao


[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,     Mo 5-Aug-2024 13:59:25 MESZ