Explore the innovative concept of hyperbolic summation in this 1-hour 4-minute conference talk from the International Conference on Brunn-Minkowski Structures 2024. Delve into the development of a Brunn-Minkowski theory for hyperbolic space, extending classical geometric principles beyond Euclidean realms. Learn how the speaker, in collaboration with Dr. Botong Xu, introduces a novel summation method for sets in hyperbolic space, drawing parallels to the Minkowski summation used in traditional convex body geometry. Gain insights into this groundbreaking approach that bridges hyperbolic geometry with established mathematical theories, potentially opening new avenues for geometric analysis and applications.