Seminar

On the autonomous norm on the group of Hamiltonian diffeomorphisms of a surface

Symplectic geometry and topology

08 October 15:30 - 16:30

Jaroslaw Kedra - University of Aberdeen

Every Hamiltonian diffeomorphism F is a product of autonomous ones. The smallest number of them is, by definition, the autonomous norm of F. I will sketch a proof the fact that the autonomous norm of Ham(M,w), where M is a surface, is unbounded. The main point of the argument is to construct a suitable Lipschitz function Ham(M,w) --> R. This will be done using braids and quasimorphisms.
Organizers
Tobias Ekholm,
Uppsala University
Yakov Eliashberg
Stanford University
Lenhard Ng
Duke University
Ivan Smith
University of Cambridge

Program
Contact

Tobias Ekholm

tobias.ekholm@math.uu.se

Other
information

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