Explore the second lecture in Kris Shaw's mini-course on "Combinatorial Geometry and Hodge Theory" from the Combinatorial Synergies in Geometry and Number Theory workshop at IMPA. This 52-minute video continues Shaw's exploration of how combinatorial methods intersect with algebraic geometry and Hodge theory. Part of a broader workshop bringing together early-career mathematicians and specialists to enhance combinatorial approaches in geometric and arithmetic structures, this lecture builds on fundamental concepts introduced in the first session. The workshop features additional mini-courses and presentations from international mathematicians covering topics like Berkovich spaces, tropical geometry, matroids, and polynomial equations. Organized by a distinguished scientific committee, this event represents a significant gathering in the field of mathematical combinatorics and its applications.