Long Arithmetic Progressions in Sumsets

Series
Combinatorics Seminar
Time
Friday, February 18, 2011 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Ernie Croot – School of Math. Georgia Tech.
Organizer
Xingxing Yu
Fix a subset A of the group of integers mod N. In this talkI will discuss joint work with Izabella Laba, Olof Sisask and myselfon the length of the longest arithmetic progression in the sumset A+Ain terms of the density of the set A. The bounds we develop improve uponthe best that was previously known, due to Ben Green.