Staged Tree Models with Toric Structures

A staged tree model is a statistical model which can be represented by a tree. To each staged tree we associate a prime ideal of homogeneous polynomials, which provides an algebraic description of the same model. In this talk we will discuss algebraic properties of this ideal, and how they can be read off from the tree. In particular we want to understand if the ideal is toric, possibly after a linear change of coordinates. This is joint work with Christiane Görgen and Aida Maraj.