Some Problems and Results in Additive Combinatorics.

Series: 
Research Horizons Seminar
Wednesday, September 9, 2009 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 171
,  
School of Mathematics, Georgia Tech
,  
Additive combinatorics is a relatively new field, with many diverse and exciting research programmes.  In this talk I will discuss two of these programmes -- the continuing development of sum-product inequalities, and the unfolding progress on arithmetic progressions -- along with some new results proved by me and my collaborators.  Hopefully I will have time to mention some nice research problems as well.