This manuscript summarizes the outcome of the focus groups at "The f(A)bulous workshop on matrix functions and exponential integrators", held at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg, Germany, on 25-27 September 2023. There were three focus groups in total, each with a different theme: knowledge transfer, high-performance and energy-aware computing, and benchmarking. We collect insights, open issues, and perspectives from each focus group, as well as from general discussions throughout the workshop. Our primary aim is to highlight ripe research directions and continue to build on the momentum from a lively meeting.

翻译：本手稿总结了2023年9月25日至27日在德国马格德堡马克斯·普朗克复杂技术系统动力学研究所举办的"矩阵函数与指数积分器前沿研讨会"上各专题小组的研讨成果。研讨会共设三个专题小组，分别围绕知识迁移、高性能与能效计算及基准测试三大主题展开讨论。我们汇集了各专题小组及研讨会全程自由讨论中形成的见解、待解决问题与前瞻性观点。本文的主要目的在于凸显已趋成熟的研究方向，并延续这场活跃学术会议的蓬勃势头。