Fenglong You (Nottingham) - Birational invariants from Hodge Structures and Quantum Multiplication (preprint seminar)

The goal is to understand "Birational Invariants from Hodge Structures and Quantum Multiplication" by Katzarkov-Kontsevich-Pantev-YU. KKPY introduce new birational invariants called Hodge atoms. These are constructed by combining classical Hodge theory with quantum cohomology. They use it to prove that a very general cubic fourfold is not rational.