The **XIV International Summer School on GMC** was held in Burgos, Spain, in July 4-8, 2022, and was organised by the Geometry, Mechanics and Control (GMC) Network, the Mathematical Physics Group and the Physics Department of the Universidad de Burgos.

The school is oriented to young researchers, Ph.D. and postdoctoral students in Mathematics, Physics and Engineering, whose research topics deal with Geometry, Mechanics and Control Theory. In particular, in this edition the courses of the School focused in spectral geometry, Lie systems and their geometric structures, quantum groups and non-commutative geometry and geometric control. These courses are intended to present an up-to-date introduction to these topics, and also to bring the participant´s attention to some open problems, in particular those ones related to applications.