The Language Library is a quite new initiative – started with LREC 2012 – conceived as a facility for gathering and making available, through simple functionalities, all the linguistic knowledge the field is able to produce, putting in place new ways of collaboration within the Language Technology community. Its main characteristic is to be collaboratively built, with the entire community providing/enriching language resources by annotating/processing language data and freely using them. We exploit today's trend towards sharing for initiating a collective movement that works also towards creating synergies and harmonisation among different annotation efforts that are now dispersed. The Language Library could be considered as the beginning of a big Genome project for languages, where the community will collectively deposit/create increasingly rich and multi-layered linguistic resources, enabling a deeper understanding of the complex relations between different annotation layers.