The aim of the workshop is to compare the different relativistic many-body techniques, get a diagnostic of the difficulties of each method and how to progress in the direction of high-complexity systems which generate very large numbers of configurations and angular integrals, and require state of the art computing technique and supercomputers. Use of artificial intelligence and machine learning will also be in the agenda. We want to study in more details the newest developments in nuclear structure of super-heavy elements and their impact on the atomic structure of superheavy elements. The different groups will present the methods they have been developing, their efficiency on obtaining new more accurate theoretical results. The latest developments in the prediction of the position of the superheavy elements in the periodic table will be reviewed. The progress in understanding of the region near and above super-critical fields will be examined, in the framework of future FAIR experiments.

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