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22nd Cumberland Conference on Combinatorics, Graph Theory and Computing
May 21-23, 2009
Western Kentucky University
Bowling Green, KY, USA

Organizers
Bela Csaba, Chair; Mustafa Atici; Robert Crawford; Claus Ernst; Dominic Lanphier; Attila Por

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Combinatorial Richness of Large Sets
by
Vitaly Bergelson
Ohio State University

The celebrated Szemeredi's theorem on arithmetic progressions (which states that any set of positive upper density in N contains arbitrarily long arithmetic progressions) belongs to the wide family of results which conform to the motto: large implies structurally rich. We will discuss various additional results of this nature and formulate some open problems.

Date received: May 7, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cayq-72.