Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Prof. Dr. Augustin-Liviu Mare,
University of Regina, Kanada

 
spricht am
 
Montag, 7. Februar 2011
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»On the image of real loci of symplectic manifolds under moment maps«

Abstract:
The real locus of a symplectic manifold M is the fixed point set of an anti-symplectic involutive automorphism. Assume that a torus acts in Hamiltonian fashion on M, giving rise to a moment map. A theorem of Duistermaat (1983) says that if the involutive automorphism and the torus action are compatible in a certain sense, then the images of M, respectively the real locus under the moment map are equal, provided that M is compact. In my talk I will discuss generalizations of this result to the case when M is non-compact, which are due to Hilgert, Neeb, and Planck (1994) and, recently, to Jeffrey and myself.

 

Hierzu ergeht herzliche Einladung.     

 

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



[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,    Mi 12-Jan-2011 11:51:31 MEZ