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GDMSeminar: Abstracts of the Talks (2021/11)


James Montaldi (University of Manchester, UK)
Point vortices on non-orientable surfaces

Tuesday, June 22, 2021 , 15:00 GMT


The standard Hamiltonian approach to the dynamics of point vortices on a surface involves the symplectic form on the surface together with the vorticity of the point vortices.  However, both these ingredients involve a choice of orientation of the surface, which is of course not available for non-orientable surfaces. In this talk I will discuss how one can set up a Hamiltonian approach in the non-orientable setting, with particular reference to the Möbius band.  This is joint work with Nataliya Balabanova.