NSFCBMS Conference on Additive Combinatorics from a Geometric Viewpoint
Jozsef Solymosi
University of British Columbia http://www.math.ubc.ca/~solymosi/ 

Abstract 
Applications of regularity
The corner theorem in integer grids. The earliest application of concept of regularity appeared in Szemeredi's proof on arithmetic progressions in dense subsets of integers. Then it became a frequently used technique in graph theory and theoretical computer science. We give a simple proof based on a variant of the hypergraph removal lemma. We will also talk about the Density HalesJewett theorem. 