Over the past decade, modelling the panchromatic emission of galaxies has become one of the key tools in measuring their properties. As new and next-generation facilities progressively herald a new era in observational astronomy, we face new and specific challenges: LSST (recently named the Vera C. Rubin Observatory) and SKA will provide us with an avalanche of data; the advent of e-ROSITA and the preparation for Athena make it ever more pressing to include X-ray emission into the standard UV to radio panchromatic models; JWST will observe the first galaxies with extreme stellar populations; and, in the meantime, ALMA is already starting to provide us with remarkable dust and metal observations at high redshift. The proceedings of IAU Symposium 341 offer a broad overview of the state of the field from theoreticians, modellers, and observers to present and discuss the current frontier in the panchromatic modelling of galaxies.