When: Sunday, March 9, 10am
Where: Schreiber 309
Speaker: Gregory Freiman, Tel Aviv U.
Title: An exact volume estimate for sets of integers with a given doubling constant.
It is known that any set of integers A for which |A+A| is at most c|A| lies in a low dimensional generalized arithmetic progression of small volume. In a series of papers by Bilu, Ruzsa, Mai-Chu Chang, Konyagin, Sanders and others estimates of this volume have been obtained and improved.
In this talk a new way to get exact estimates will be discussed, accompanied by some examples.