Primitive Cohomology and the Tube Mapping

In this 58-minute lecture, Professor Christian Schnell from Stony Brook University explores the concept of primitive cohomology and the tube mapping, based on one of his first published papers. Discover a fascinating topological construction that generates the primitive cohomology of a smooth projective variety by examining the monodromy action on its hyperplane sections. Learn about this mathematical technique that, while shared with the speaker by Herb Clemens, represents the kind of approach that could have been employed by Lefschetz himself. The presentation offers valuable insights into advanced algebraic topology concepts through the lens of the speaker's early academic work.