The Active Flux method is a hybrid finite element – finite volume method that achieves upwinding by locally evolving continuous data, instead of solving Riemann problems. Typically its degrees of freedom are cell averages and point values located at cell interfaces, the latter being shared between adjacent cells. The solution has a globally continuous representation. The evolution of the averages is conservative, which means this is a finite volume method that is able to converge to the weak solution. This method was proposed by Phil Roe around 15 years ago. He suggested a 3rd order method that can be found in the literature under the name of ‘Active Flux’. Since then it has been shown to achieve superior results on coarse grids, because it is preserves multi-dimensional structures of the flow. In recent developments Active Flux was made arbitrarily high-order accurate. In this mini-symposium we want to study theoretical properties of this method, its various numerical implementations and how the method fares in applications. Theoretical one has been able to prove structure preserving properties of the method for linearized equations, so how to proceed for non-linear equations? One has understood some relationship between different numerical implementations of the method, so which version is best in a given context? Finally the application of Active Flux to computational astrophysics has made progress with very promising results, this needs to be pushed further. This mini-symposium will bring together experts to discuss these topics and move the subject forward.