Events & Calendars Gabriel Sosa: "Monomial Orders Uniquely Determined by Their Induced Orders"

Abstract: "When we are asked to write the polynomial p(x)=3x2+x4+7-x in standard form, we know our answer is x4+3x2-x+7, because the only way to order powers of x in a consistent way is the natural one: degree-wise. Complexity is introduced when we are asked to write q(x)=2x3yz2-6x4z+x2y3z in standard form, because we have to define what 'standard form' means in this setting.

In this talk we will present the three classical monomial orders (lexicographic, degree lexicographic and reverse lexicographic), explore a curious property they possess (hint: it is the title), and discuss whether other monomial orders possess this property."