Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Dr. Marcelo Alves
University of Antwerp, Belgium
 
spricht am
 
Montag, 12. Mai 2025
 
um
 
16 Uhr s.t.
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»From curve shortening to Birkhoff sections of geodesic flows«

Abstract:
In this talk, based on joint work with Marco Mazzucchelli, I will present some new results on the dynamics of geodesic flows of closed Riemannian surfaces, proved using the curve shortening flow. The first result is a forced existence theorem for orientable closed Riemannian surfaces of positive genus, asserting that the existence of a contractible simple closed geodesic \gamma forces the existence of infinitely many closed geodesics in every primitive free homotopy class of loops and intersecting \gamma. I will then explain how this type of result can be used to show the existence of Birkhoff sections for the geodesic flow of any closed orientable Riemannian surface.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Kai Cieliebak
 

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


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