Birational Invariants from Gromov-Witten Theory

Gromov-Witten invariants of a smooth projective variety give an infinite tower of cohomology classes on powers of the original variety, satisfying a beautiful system of constraints encoded in the notion of quantum connection.Recently Hiroshi Iritani proved a result controlling the quantum connection of the blowup along a smooth center.The goal of the course is to introduce a new class of birational invariants based on Iritani’s theorem.In particular, one can almost effortlessly prove the non-rationality of a generic cubic 4-fold.Veuillez cliquer sur le lien ci-dessous afin de rejoindre le webinaire : https://us02web.zoom.us/j/89102061199?pwd=TmwzNDRwYzN0Z0JjRzU3aEJETzk5QT09 Code secret : 641368