Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Seminar Topics in Symplectic Geometry

 

Herr David van der Giessen
Utrecht
 
spricht am
 
Montag, 7. November 2016
 
um
 
10:00 Uhr
 
im
 
Raum 2006 (L1)
 
über das Thema:
 

»Braid Floer homology on surfaces«

Abstract:
The Arnold Conjecture gives the existence of 1-periodic solutions of a nondegenerate Hamiltonian system on a compact symplectic manifold. I will give a proof sketch for this Conjecture in the case of aspherical manifolds. To prove the Conjecture in this case, we need Floer homology. After this proof sketch, we continue with developing braid Floer homology on surfaces. We look at free and skeleton braids to define braid Floer homology. The skeleton braids are known solutions for the Hamiltonian. The free braids are unknown solutions. Braid Floer homology tells us when the skeleton forces new solutions. For a special class of skeleton and free braids on the torus, I define braid Floer homology completely.

 

Hierzu ergeht herzliche Einladung.
Urs Frauenfelder


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