Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Seminar Topics in Symplectic Geometry

 

Dr. Seongchan Kim
ETH Zürich
 
spricht am
 
Montag, 5. November 2018
 
um
 
12:15 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Symmetric periodic orbits and a conjecture of Seifert«

Abstract:
A symmetric periodic orbit is a special kind of periodic orbit which arises in a Hamiltonian system equipped with an antisymplectic involution. An interesting example is so-called "retrograde periodic orbit" in the planar circular restricted three-body problem, discovered by Birkhoff in 1915. In this talk I will explain Seifert's conjecture on the minimal number of symmetric periodic orbits and give a partial answer to this conjecture. The main ingredients for the proof are equivariant wrapped Floer homology and a suitable assumption on the Robbin-Salamon indices.

 

Hierzu ergeht herzliche Einladung.
Urs Frauenfelder


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