PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Federico Rodriguez Hertz, Stephanie Zerby, Anatole Katok, Boris Kalinin, Dmitri Burago.

Title:Contact (Non-)Squeezing and spectral invariants
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Peter Albers, Westfälische Wilhelms-Universität Münster
Abstract:
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
Date:03 / 13 / 2013
Time:03:35pm - 04:35pm