Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

M. Sc. Levin Maier
Ruprecht-Karls-Universität Heidelberg
 
spricht am
 
Montag, 10. Juni 2024
 
um
 
16 Uhr s.t.
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Magnetic billiards and the Hofer–Zehnder capacity of disc tangent bundles of lens spaces«

Abstract:
We compute the Hofer–Zehnder capacity of disc tangent bundles of certain lens spaces with respect to the round metric. Interestingly we find that the Hofer–Zehnder capacity does not see the covering, i.e. the capacity of the disc tangent bundle of the lens space coincides with the capacity of the disc tangent bundle of the 3-sphere covering it. In particular this gives a first example, where Gromov width and Hofer–Zehnder capacity of a disc tangent bundle disagree. Techniques we use include for the lower bound magnetic billiards and for the upper bound Gromov–Witten invariants.

It is a joint work with Johanna Bimmermann.


 

Hierzu ergeht herzliche Einladung.
Dr. Airi Takeuchi
 

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


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