Combinatorics Seminar

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.

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