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DESCRIPTION: A numerical semigroup is a subset of the positive integers ( N
) together with 0\, closed under addition\, and with a finite complement i
n N ∪{0}. The number of gaps is its genus. Numerical semigroups arise in
algebraic geometry\, coding theory\, privacy models\, and in musical analy
sis. It has been shown that the sequence counting the number of semigroups
of each given genus g \, denoted ( n g ) g ≥ 0 \, has a Fibonacci-lik
e asymptotic behavior. It is still not proved that\, for each g \, n g
+2 ≥ n g +1 + n g or\, even more simple\, n g +1 ≥ n
g . We will explain some classical problems on numerical semigroups as
well as some of their applications to other fields and we will explain the
approach of counting semigroups by means of trees.
DTSTAMP:20190115T092000
DTSTART:20190121T141500
CLASS:PUBLIC
LOCATION:Technische Universität Berlin\n Institut für Mathematik\n Straße d
es 17. Juni 136\n 10623 Berlin\n Room MA 041 (Ground Floor)
SEQUENCE:0
SUMMARY:Maria Bras Amorós (Universitat Rovira i Virgili Tarragona): On nume
rical semigroups
UID:95623668@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20190121-L-Amoros.html
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