- Series
- ACO Student Seminar
- Time
- Wednesday, September 2, 2009 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- ISyE Executive Classroom
- Speaker
- Ernie Croot – School of Mathematics
- Organizer
- Annette Rohrs

Sum-Product inequalities originated in the early 80's
with the work of Erdos and Szemeredi, who showed that there exists
a constant c such that if A is a set of n integers, n sufficiently
large, then either the sumset A+A = {a+b : a,b in A} or the product
set A.A = {ab : a,b in A}, must exceed n^(1+c) in size. Since that
time the subject has exploded with a vast number of generalizations
and extensions of the basic result, which has led to many
very interesting unsolved problems (that would make great thesis
topics). In this talk I will survey some of the developments in this
fast-growing area.