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Numerical semigroups, minimal presentations, and posets (Chris O’Neill, SDSU)

February 28 @ 12:15 pm - 1:10 pm

A numerical semigroup is a subset S of the natural numbers that is closed under addition.  One of the primary attributes of interest in commutative algebra are the relations (or trades) between the generators of S; any particular choice of minimal trades is called a minimal presentation of S (this is equivalent to choosing a minimal binomial generating set for the defining toric ideal of S).  In this talk, we present a method of constructing a minimal presentation of S from a portion of its divisibility poset.  Time permitting, we will explore connections to polyhedral geometry.  No familiarity with numerical semigroups or toric ideals will be assumed for this talk.


February 28
12:15 pm - 1:10 pm
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Davidson Lecture Hall, CMC
340 E 9th St
Claremont, CA 91711 United States
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