Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Tobias Witt
Universität Heidelberg
 
spricht am
 
Montag, 4. Dezember 2023
 
um
 
16 Uhr s.t.
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»On the degenerate Morse-to-CZ index relation«

Abstract:
Periodic orbits of a classical Hamiltonian can be analysed as Reeb orbits on an energy hypersurface in phase space or as trajectories in position space. Depending on the perspective an orbit is characterised by its Morse or spectral Conley-Zehnder index. We argue that (also in the case of degenerate orbits) the two indices are related as CZ − Morse = N/2 + k where N = [nullity]−[transverse nullity] controls the correction term k in such a way that CZ−Morse ∈ {0, 1}. The proof uses an extended formulation of the Robbin-Salamon index in terms of ’mildly irregular’ crossings.

 

Hierzu ergeht herzliche Einladung.
Frederic Wagner
 

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


[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,     Di 26-Sep-2023 13:08:52 MESZ