  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.
