These days are the culmination of more than a year's reflection on the unit's positioning, its achievements over the last 5 years and its future direction. Many thanks to the members of CRIStAL who contributed to these reflections and to the smooth running of the conference.

The GDR IFM Scalp and Vérif GTs days will be held from 18 to 21 november 2024 at IRCICA. They are organised by David Nowak and Vlad Rusu. - [GT Scalp Days 2024](https://www.irif.fr/gt-scalp/journees-2024) - [GT Vérif Days 2024](https://gt-verif.lis-lab.fr/)

What is infinity ? Throughout history, mathematicians have tried to give a precise meaning to this concept. Interview with mathematician Jean-Paul Delahaye, Professor Emeritus, University of Lille. "Pour la Science" dossier No 125

Compliance Robotics, a start-up resulting from the research work of the DEFROST team (CO2 Group in the CRIStAL laboratory), housed at Inria, has been awarded the i-Lab 2024 Grand Prize, a prestigious award given to just 10 innovative start-up projects in France. Compliance Robotics is one of the 2 …

From the "mutilated chessboard" to exotic assemblies of small squares, the question of which shapes are "dominable" is gradually being resolved, but not without difficulty. Jean-Paul Delahaye "Pour la science" article no. 564

To carry out certain operations, surgeons already have robotic tools at their disposal. But in the future, the implants themselves could be mobile, and controlled in such a way as to faciliate their insertion. The Robocop project, coordinated by Inria's Defrost project team, is a first step in the …

Recent research has taken up and refined the reasoning of the Swedish philosopher Nick Bostrom who, twenty years ago, thought it likely that our reality was in fact a computer simulation run by an advanced civilisation. Jean-Paul Delahaye POUR LA SCIENCE N° 563

Mathematics allows infinite calculations, and certain fields of physics also seem to need them. But what sense can we make of such operations? Jean-Paul Delahaye POUR LA SCIENCE N° 562

Progress on combinatorial problems linked to the SET card game has been made using methods derived from massive language models, at the heart of generative AI. Jean-Paul Delahaye "POUR LA SCIENCE N° 561" 19 June 2024

A visit by 60 "retired executives" from the Re-Création association on June 19, 2024, accompanied by a presentation by Maan El Badaoui on the research challenges of connected autonomous vehicles and two hours of demonstrations on the PRETIL platform.