This proposal seeks the scientific exploitation of the project on Dynamics of cool-core galaxy clusters, the mapping Cosmological Galaxy Clusters, and the galaxy cluster surveys of the EUCLID space mission in the coming years. The objectives of the project here presented are:

1) To investigate the nature of galaxy clusters with cool-cores, their formation and evolution, through the scientific exploitation of the CAT19B_65, CAT20B_14 and CAT21B_6 observational programs. These clusters have the particularity of exhibiting in their innermost regions an unusually low X-ray Luminosity in contrast to an especially high temperature and entropy. This fact represents an anomaly in galaxy cluster formation models, although it could be explained based on sub-structure collisions. Therefore, a complete study of clusters of this type is needed, especially deepening the internal dynamics of these structures.

2) To carry out the scientific exploitation of the "WEAVE Cosmological Cluster" data, in its two observational modes (LIFU and MOS). R. Barrena coordinates the observational phase. This project has the main aim of investigate the outermost regions of the clusters in order to study how the galaxies in the clusters surroundings are attracted into the cluster potential well through the filamentary structures associated with the large-scale structure. That is, the main aim of this project is to understand how the substructures and galaxies in the cluster surroundings interact with the dark matter haloes of the clusters.

3) To develop out the mapping of galaxy clusters for the EUCLID space mission, whose main objective is the mapping of dark matter in the Universe. From the IAC, R. Barrena actively participate in the OU-LE3 working group of the EUCLID consortium, whith the aim of providing design an optimal detection tool for cluster detection up to z<2. The algorithm that we are developing in collaboration with the Polytechnic University of Cartagena, the HCF (High-z Cluster Finder) searches for galaxy overdensities at different spatial scales and with coherence in their photometric redshifts. This algorithm has been tested since 2017 in the different versions of the EUCLID mock catalogs and others, like SDSS-strp82, with excellent results. Our goal in this project is to implement it on real data obtained by EUCLID from 2022, to obtain the first catalogs of galaxy clusters providing a product with a high completeness and purity. In part, the success of this tool will depend on future cosmological studies based on the abundance of clusters on the EUCLID data.