The geometry of conditional independence structures and their Coxeter friends

A conditional independence structure consists of triples (ij|K) which can be interpreted in many ways, for example as conditional independence between random vectors, as points with certain distances in an inner product space, as pairs not to be compared in a rank test, or as separation in graphs or topological spaces. In this talk I will discuss the geometry of these structures and their analogies in other Coxeter types.