CECM Colloquium/Discrete Math Seminar

**Wednesday April 4, 2001
in K9509, SFU
**

3:30 - 4:20

Dr Veselin Jungic, SFU

Talks on "Diophantine Ramsey Theory and Recurrence in Dynamical Systems"

**Abstract:**
The main purpose of this talk is to discuss and illustrate the
connection between some problems of van der Waerden type, i.e., problems
of locating patterns that occur monochromatically for an arbitrary finite
coloring of $\bbf{Z}$ or $\bbf{N}$, on the one hand, and topological
dynamics and ergodic theory on the other hand.

The equivalence between van der Waerden's theorem and its topological version and the equivalence between the polynomial Szemeredi theorem and its ergodic version will be given.