Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Herr Nikolay Martynchuk
 
spricht am
 
Montag, 27. Mai 2019
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Hamiltonian monodromy in systems with symmetry«

Abstract:
Hamiltonian monodromy was introduced by Duistermaat in his work on global action-angle coordinates. Since then this invariant has received considerable interest and has been generalized in various directions, including quantum mechanics and scattering theory. In this talk, we review Duistermaat's notion of Hamiltonian monodromy and show how one can compute this invariant by comparing Chern numbers of appropriate energy levels. The idea behind this result goes back to F. Takens. We explain it on a few examples. Connections of the result to some other approaches to monodromy will also be discussed. This is a report on a joint work with H.W. Broer and K. Efstathiou.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Kai Cieliebak
 

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



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