Long Arithmetic Progressions in Sumsets

Combinatorics Seminar
Friday, February 18, 2011 - 15:05
1 hour (actually 50 minutes)
Skiles 006
School of Math. Georgia Tech.
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.