Prismatic Cohomology Relative Delta-Rings

Explore the intricacies of prismatic cohomology in this advanced mathematics lecture delivered by Achim Krausen from the University of Münster at the Institut des Hautes Etudes Scientifiques (IHES). Delve into the origins of prismatic cohomology from the study of topological cyclic homology and examine its two main variants: absolute prismatic cohomology and relative prismatic cohomology. Discover a new generalization called "prismatic cohomology relative delta-rings" that bridges the gap between these two approaches. Over the course of 1 hour and 17 minutes, gain insights into how this novel concept interpolates between absolute and relative prismatic cohomology, offering a more comprehensive understanding of this complex mathematical topic.