Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Dr. Konrad Schöbel
Universität Jena
 
spricht am
 
Montag, 8. Juli 2013
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Separation of Variables and Moduli Spaces of Stable Curves«

Abstract:
Integrable Killing tensors are used to classify orthogonal coordinates in which the classical Hamilton-Jacobi equation can be solved by a separation of variables. We establish purely algebraic equations characterising the integrability of Killing tensors on constant curvature manifolds and solve them explicitly for the 3-sphere. The description of this solution as a projective variety allows us to recover the classification of separable coordinate systems. We show that the classification space is isomorphic to a certain moduli space of stable curves with marked points. Several generalisations of this result will be proposed.

 

Hierzu ergeht herzliche Einladung.
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2004 (L1).


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