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

Abstract 
Introduction to Freiman's theorem
Freiman's dimension lemma and its consequences. A tool: Schmidt's Subspace Theorem. When a set has very small doubling then it has a structure similar to a (generalized) arithmetic progression. We are going to use some heavy tools from algebraic geometry to prove some interesting results. 