Explore the intricate connections between logarithmic soft theorems, translational symmetries, and asymptotic formulations of Einstein's field equations in this 56-minute conference talk by Miguel Campiglia from the Galileo Galilei Institute. Delve into advanced topics in theoretical physics and general relativity, examining how logarithmic corrections to soft theorems relate to asymptotic symmetries and the behavior of gravitational fields at infinity. Investigate the mathematical framework underlying log translations and their role in understanding the asymptotic structure of spacetime, while analyzing how these concepts contribute to our comprehension of gravitational dynamics and the fundamental principles governing Einstein's equations in asymptotic regimes.