# Jerusalem Mathematics Colloquium

Thursday, 29th January 2004, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Professor Leonid Polterovich

(Tel Aviv University)

"Symplectic maps: algebra, geometry, dynamics"

** Abstract: **
Symplectic maps appear as a natural generalization of area-preserving
diffeomorphisms of surfaces. They play a central role in the mathematical
model of classical mechanics.

We will focus on the following topics:

(a) growth rate of symplectic maps and the trichotomy
hyperbolic/parabolic/elliptic in the context of diffeomorphisms;

(b) obstructions to symplectic actions of finitely generated groups,
including a symplectic version of the Zimmer program on
actions of lattices.

We describe recent progress in these directions based on modern
methods of symplectic topology.

Light refreshments will be served in the faculty lounge at 3:30.

List of talks, 2003-04

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