Explore the fascinating world of soliton quantization and random partitions in this 44-minute lecture by Alexander Moll from Northeastern University. Delve into the School and Workshop on Random Matrix Theory and Point Processes as the speaker covers a wide range of topics, including periodic travelling waves, the Benjamin Ono equation, and one-phase solutions. Examine new formulas and simulations, and gain insights into the Hamiltonian structure and classical energy concepts. Learn about dispersive action profiles, concave action profiles, and the lack of spare in soliton quantization. Discover the connections between these complex mathematical concepts and their applications in random matrix theory and point processes.