Since their introduction 30 years ago [1], the FFT-based homogenisation method has established itself as a particularly useful numerical tool in the field of micromechanics and the prediction of effective properties. The main advantages of this full-field calculation method are its ease of implementation, its simplicity of use (the description of the microstructure under study consists of an image of it) and its numerical efficiency. The aim of this symposium is to report on (but not limited to): • Latest advances in the method itself, whether in terms of new, more efficient algorithms or the extension of the method to new materials and material behaviors, • applications of the method to problems involving crystalline materials and composite materials, including damage, dynamic deformation, thermal effects etc., • coupling with other methods such as FE-FFT multiscale computations, machine learning techniques, reduced order models, etc., • synergy of the method with advanced characterization techniques (CT, EBSD, 3DXRD, etc.) , • efficient numerical implementation of the method (high-performance computing, including GPUs, etc.), and above all to promote discussions between scientists involved or interested in the method. [1] H. Moulinec and P. Suquet, “A fast numerical method for computing the linear and nonlinear properties of composites”, C. R. Acad. Sc. Paris, II, 318, pp. 1417-1423, 1994