Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Andrei Pajitnov
Université de Nantes

 
spricht am
 
Montag, 18. Mai 2015
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Arnold conjecture, Floer homology, and augmentation ideals of finite groups«

Abstract:
Let H be a generic time-dependent 1-periodic Hamiltonian on a closed weakly monotone symplectic manifold M. We construct a refined version of the Floer chain complex associated to (M,H), and use it to obtain new lower bounds for the number P(H) of the 1-periodic orbits of the corresponding hamiltonian vector field. We prove in particular that if the fundamental group of M is finite and solvable or simple, then P(H) is not less than the minimal number of generators of the fundamental group.

This is joint work with Kaoru Ono.


 

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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