For more information about this meeting, contact Federico Rodriguez Hertz, Robin Enderle, Anatole Katok, Dmitri Burago.
| Title: | Contact (Non-)Squeezing and spectral invariants |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Peter Albers, Westfälische Wilhelms-Universität Münster |
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| Abstract: |
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| Gromov's famous non-squeezing theorem in symplectic geometry
shows the strong rigidity properties of symplectic transformations. In
this talk I will first explain why a theorem by Eliashberg-Polterovich
shows that the obvious generalization of Gromov's non-squeezing
theorem to contact geometry is not only the wrong one but also that in
contact geometry squeezing and non-squeezing coexist. Then I will
discuss how spectral invariants provide an easy tool to study contact
non-squeezing and allows to establish many new cases of contact
non-squeezing. Finally we will discuss some dynamical application,
namely existence of infinitely many iterated translated points of
contactomorphisms. This is joint work with Will Merry. |
Room Reservation Information
| Room Number: | MB114 |
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| Date: | 03 / 13 / 2013 |
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| Time: | 03:35pm - 04:35pm |
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