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

Abstract 
The sumproduct problem over fields of characteristic zero
An old conjecture of Erdos and Szemeredi states that for any finite set of integers has large sumset or large product set (almost quadratic in the size of the set). We are going to prove lower bounds on the sum of the cardinalities of the sumset and the product set showing that additive and multiplicative structures are very incompatible. 