The conference in Paris will be the ninth conference of the Society, following the meeting that gave birth to the idea of FoCM in Park City (1995), and 8 very successful meetings in Rio de Janeiro (1997), Oxford (1999), Minneapolis (2002), Santander (2005), Hong Kong (2008), Budapest (2011), Montevideo (2014) and Barcelona (2017). The conference in Vancouver planned for 2020 was cancelled due to the Covid-19 pandemic. Each of the previous conferences had several hundred participants from all branches of mathematics that impinge on computation in the broadest sense. FoCM conferences are usually organized as follows: mornings are devoted to plenary talks and afternoons to the workshops, which are run in parallel. The conference is divided in three periods of three days, and each workshop is held during one of these periods. The spirit of FoCM is that participants are encouraged to come to the whole duration of the conference, and attend talks in different workshops. Poster sessions are also organized by each workshop.