When the catenary degree meets the tame degree in embedding dimension 3 numerical semigroups

Staff - Faculty of Informatics

Start date: 21 December 2015

End date: 22 December 2015

Speaker: Caterina Viola
   
Date: Monday, December 21, 2015
Place: USI Lugano Campus, room SI-007, Informatics building (Via G. Buffi 13)
Time: 14.30

 

Abstract:

A numerical semigroup is a subset of N, containing the zero, and closed under addition. A numerical semigroup is finitely generated, the number of any minimal set of generators is called embedding dimension. The  factorization of an element in a numerical semigroup is not unique. Catenary and tame degree are two of the arithmetical invariants related to the factorizations in a numerical semigroup.  I characterize embedding dimension three numerical semigroups having the same catenary and tame degree.

 

Biography:

I got my master degree in Universitá degli Studi di Catania, in Italy, I study for my thesis in Granada with professor García-Sanchez. I was hosted as a intern at Max-Plank Institute for Mathematics in Bonn in September.

 

Host: Prof. Evanthia Papadopoulou