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Texas A&M University

Algebra and Combinatorics Seminar

Date: November 4, 2022

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Christopher O'Neill , San Diego State University


Title: Numerical semigroups, minimal presentations, and posets

Abstract: 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.