Séminaire CAESAR
de combinatoire additive
Séance du 14 octobre 2010
(10 heures 30, Jussieu, couloir 15-25, salle 321):
Wolfgang SCHMID
(CMLS, Ecole polytechnique)
From Arithmetic to Additive Combinatorics, and back
In this survey talk, we mainly discuss how questions
on the multiplicative arithmetic of maximal orders of algebraic
number fields, and related structures, give
rise to problems on zero-sum sequences over (finite) abelian groups.
The problem of determining the Davenport constant can be considered
as the archetypal example, but there are many others.
Moreover, we briefly mention some examples in the converse direction,
i.e., we sketch some results on problems that can be considered as
pure zero-sum problems that were obtained using "arithemtic notions."
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