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• W1551398075 abstract "The trajectories of a vector field in 3-space can be very entangled; the flow canswirl, spiral, create vortices etc. Periodic orbits define knots whose topology can sometimes bevery complicated. In this talk, I will survey some advances in the qualitative and quantitativedescription of this kind of phenomenon. The first part will be devoted to vorticity, helicity, andasymptotic cycles for flows. The second part will deal with various notions of rotation and spinfor surface diffeomorphisms. Finally, I will describe the important example of the geodesicflow on the modular surface, where the linking between geodesics turns out to be related towell-known arithmetical functions." @default.
• W1551398075 created "2016-06-24" @default.
• W1551398075 creator A5002563359 @default.
• W1551398075 date "2006-01-01" @default.
• W1551398075 modified "2023-09-26" @default.
• W1551398075 title "Knots and dynamics" @default.
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