Blow Up Formulae and Invariants I - Blow-Up Formula for Quantum Cohomology

Explore a 43-minute lecture on the blow-up formula for quantum cohomology presented by Maxim Kontsevich from IHES, University of Miami, and IMSA. Delve into the heuristics behind the conjectural formula that expresses genus zero Gromov-Witten invariants of a blown up complex algebraic variety in terms of GW-invariants for the initial variety and its center. Discover the proposed approach to proving this formula through equivariant localization. Gain insights into advanced topics in algebraic geometry and quantum cohomology as Kontsevich shares his expertise in this University of Miami presentation from January 19, 2021.