Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Professor Dr. Eva Miranda
Universitat Politècnica de Catalunya

 
spricht am
 
Montag, 17. April 2023
 
um
 
16 Uhr s.t.
 
im
 
2004/L1 und Zoom (hybride Veranstaltung)
 
über das Thema:
 

»Counting periodic orbits on compactified phase spaces«

Abstract:
The trajectory of a satellite that comes back to its origin describes a periodic orbit. The search for periodic orbits has a long story. In the realm of Symplectic and contact topology, it has been guided by two conjectures: the Weinstein conjecture and the Arnold conjecture. In this talk, we will go through the common patterns in this search featuring the revolutionary path inaugurated by Andreas Floer. We will present some recent results for open symplectic manifolds that can be compactified as singular symplectic manifolds. Singular symplectic structures also show up in the space of geodesics of the Lorentz plane and furnish a natural phase space for regularized problems in celestial mechanics such as the restricted 3-body problem.

If you want to take part via Zoom please ask Prof. Frauenfelder for­ login details: Urs.Frauenfelder@math.uni-augsburg.de


 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Urs Frauenfelder
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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