Explore new birational invariants that combine Hodge theory and Symplectic Geometry in this hour-long lecture by Ludmil Katzarkov from the University of Miami and IMSA. Delve into cutting-edge mathematical concepts as the speaker proposes innovative approaches to understanding geometric structures and their properties. Gain insights into the intersection of complex algebraic geometry and symplectic topology, and discover how these advanced mathematical tools can be applied to study birational equivalence and related phenomena.