Séminaire CAESAR
de combinatoire additive




Séance du 6 janvier 2011
(11 heures, École polytechnique, CMLS, salle de conférence):

Melvyn NATHANSON
(CUNY, New-York, E.U.A.)

Arithmetic diameter of the integers


There is a nice interaction between geometric group theory and additive number theory, and concepts from each have fruitful analogs in the other. This talk will give some examples and problems related to growth in groups with a fixed infinite set of generators. The group of integers, of course, is of special interest to number theorists, and we describe some problems and results about additive bases of infinite order that arose from geometry.



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