Séminaire CAESAR
de combinatoire additive
Séance du 19 mai 2010
(14 heures, Chevaleret, salle 2E01):
Julia WOLF
(Rutgers)
Large sets with little structure
In 1946 Behrend constructed a subset
of {1, 2, ..., N} of density exp(-c sqrt(logN)) containing
no 3-term arithmetic
progressions. This simple and elegant construction remained
unsurpassed for over 60 years. We give a new interpretation (joint
with Ben Green) of a minuscule recent improvement due to Elkin, and
survey other results and open problems in this area.
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