Explore the integration of continuous KP, BKP, and CKP hierarchies through flows on infinite-dimensional Grassmannians in this lecture. Delve into the relationship between discrete versions of these equations and discrete flows on Grassmannians, which has been clarified in recent research. Learn about the collaborative work with Semeon Artamonov and John Harnad that sheds light on this complex mathematical topic. Gain insights into the role of integrable systems and their applications in advanced mathematics during this hour-long presentation, part of a workshop dedicated to John Harnad at the Centre de recherches mathématiques.