Abstract: 

 

This talk will be about Hierarchical Models in Algebraic Statistics. I will present an example where these models apply and introduce their corresponding toric ideals. A formula for calculating Krull dimension will be given. To describe generating sets of these ideals one can use a symmetric group action. Using this tool, we will describe generating sets for some classes of these ideals as decomposable and non-reducible Models.  This is joint work with Uwe Nagel.