Explore how differentiable solvers enable extreme-scale geophysics simulations in this 12-minute conference talk by Ludovic Räss from JuliaCon Local Paris 2025. Learn about the critical role of computational modeling in Earth Science for exploring complex physical systems that are difficult to observe directly, particularly in geodynamics and ice sheet dynamics where data is often limited. Discover how these large-scale simulations leverage next-generation HPC systems and benefit from automated data-driven model constraints to enhance accuracy and predictive capability. Understand the intersection of differential programming and high-performance computing in advancing our ability to model and predict Earth system processes at unprecedented scales.