Acknowledgements

This document would not have been possible without the help and commitment of numerous researchers from a variety of disciplines that got involved in this project(see the consortium list and the researchers that got involved in conferences, meetings and writings). . We would like to thank them for all their work and their investment, particularly given the fact that there are many other demands on their time from an increasing number of administrative activities in the research field.

The Henri Poincaré Institute (IHP) created in 1928, is one of the oldest and most dynamic international structures dedicated to mathematics and theoretical physics.

The aim of the National Institute for Mathematical Sciences (INSMI), a branch of the CNRS, the French national scientific research centre, is to promote excellence in French mathematics by facilitating and coordinating a network of research units, both at the national and international levels.

It is important to stress the role of the IHP and INSMI in enabling us to carry out a collective project of the highest quality. In this respect, we would particularly like to thank the administrative personnel of the IHP (namely Marjorie Stievenart-Ammour, Brigitte Bony and Florence Lajoinie), the DR 2 (Paris B) of the CNRS and the Université de Savoie (namely Nadine Mari).

We also benefit from collaboration with learned societies in mathematics (SMF, SMAI, SdFS), the Fédération de Recherche en Mathématiques Rhône-Alpes-Auvergne, the INSMI-CNRS Research Groups, the AMIES and the RNSC, the bring mathematics communities (from private and public institutions) closer together.

The French National Research Agency is at the root of this project. We want to thank its support, in particular financial support, that enables us to have optimal work conditions.

We also want to thanks Stania Raitmayerova for the administration of the website mathsinterre.fr and Brian Keogh for the translation from french to english.