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Maxim Kontsevich | Birational Invariants from Gromov-Witten Theory 3/4
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https://www.youtube.com/watch?v=3JEy7VZODoY 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. Maxim Kontsevich (IHES)
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