Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Professor Oliver Fabert
Vrije Universiteit Amsterdam

 
spricht am
 
Montag, 29. November 2021
 
um
 
16:15 Uhr
 
im
 
1009/L und Zoom (hybride Veranstaltung)
 
über das Thema:
 

»Floer theory for Hamiltonian particle-field systems«

Abstract:
Classical physics deals with two types of objects: particles and fields. While in classical mechanics the dynamics of particles are determined under the assumption that the fields are known a priori, in coupled particle-field systems such as the coupled Maxwell-Lorentz equations one views the fields equally as part of the dynamical process. While it is apparent that point particles need to be replaced by extended particles with sufficiently regular shape functions for classical solutions to exist, it turns out that the nonlinearities in the resulting infinite-dimensional Hamiltonian systems still exhibit enough compactness properties so that Gromov-Floer compactness (including C^0-bounds) and nonlinear Fredholm theory can still be suitably generalized, even despite the presence of a small divisor problem. While this is joint work with my PhD student Niek Lamoree, if time permits I will also report on a follow-up project with my PhD student Ronen Brillenslijper where time- and space-coordinates are treated in a covariant way suitable for special relativity.

If you want to take part via Zoom please ask Prof. Urs Frauenfelder for­ login details.


 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Urs Frauenfelder
 

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



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