Tài Hà (Tulane)
Title: Convex bodies and algebraic properties of graded families of ideals
Abstract: We will consider how to construct convex regions associated to a graded family of ideals that generalizes the familiar construction of Newton polyhedrons for monomial ideals. We will also discuss how these regions can be used to give a more accessible approach to the "Multiplicity = Volume" formula and to understand algebraic invariants and properties of the given families of ideals.