Positivity in Hodge Theory and Algebraic Geometry - Lecture 2

Explore a two-part lecture series on the differential geometry of period mappings, focusing on positivity in Hodge theory and its applications to algebraic geometry. Delve into the Hodge-Riemann bilinear relations and their role in defining metrics in vector bundles associated with polarized Hodge structures. Learn how these metrics' curvature properties lead to significant theoretical results concerning cohomology variation in families of algebraic varieties. Examine these mathematical concepts through the lens of global differential geometry, with Professor Phillip Griffiths, Arts and Sciences Distinguished Scholar from the University of Miami, presenting advanced mathematical insights across two sessions scheduled for November 13 and 14, 2024.