Commutative Algebra Seminar

Let R be a commutative ring. Fan algebras are R-algebras associated to a collection of data, consisting of fan-linear maps defined on a fan and ideals of R. It is a concept that provides an interplay between the geometry and combinatorics of the fan and the algebraic properties of the ideals and the fan linear maps. In our talk, we will present some of the main properties of these algebras, focusing on their presentation ideal. We will describe their presentation ideal and free resolution when the fan is in the pane and the ideals are principal, an important case with applications to the intersection algebra of principal ideals. This is joint work with Teresa Cortadellas Benitez and Carlos D'Andrea. Speaker(s): Florian Enescu (Georgia State University)