### Some Problems and Results in Additive Combinatorics.

- Series
- Research Horizons Seminar
- Time
- Wednesday, September 9, 2009 - 12:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 171
- Speaker
- Ernie Croot – School of Mathematics, Georgia Tech – ecroot@math.gatech.edu

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.