## Speaker:

Christopher O'Neill

## Speaker Link:

## Institution:

San Diego State University

## Time:

Thursday, October 20, 2022 - 1:00pm to 2:00pm

## Location:

RH 340N

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.