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Explore cutting-edge applications of graph neural networks in cosmology through this insightful lecture by Natali de Santi from USP São Carlos. Delve into the intersection of machine learning and astrophysics as part of the ICTP-SAIFR São Paulo Research Group meetings in Astro & Cosmo. Learn how graph neural networks are revolutionizing our understanding of the universe and advancing cosmological research. Gain valuable insights into the latest methodologies and techniques used to analyze complex cosmic structures and phenomena. Suitable for researchers, students, and enthusiasts in astrophysics, cosmology, and data science fields.