Homogeneous quasimorphism, C^0-topology and Lagrangian intersection

Yusuke Kawamoto (Ecole Normale Superieure)

01-Jul-2020, 11:10-12:30 (4 years ago)

Abstract: The goal of the talk is to construct a non-trivial homogeneous quasimorphism on the group of Hamiltonian diffeomorphisms of the 2- and 4-dimensional quadric which is continuous with respect to both C^0-topology and the Hofer metric. This answers a variant of a question of Entov-Polterovich-Py. A comparison of spectral invariants for quantum cohomology rings with different coefficient fields plays a crucial role in the proof which might be of independent interest. If time permits, we will see how this comparison can be used to answer a question of Polterovich-Wu.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic


Geometry and Dynamics seminar

Series comments: On the week of the seminar, an announcement with the Zoom link is mailed to the seminar mailing list. To receive these e-mails, please sign up by writing to Lev Buhovsky (http://www.math.tau.ac.il/~levbuh/).

Organizers: Michael Bialy, Lev Buhovsky*, Yaron Ostrover, Leonid Polterovich
*contact for this listing

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