Open-String Quantum Lefschetz Formula and Applications in Symplectic Geometry

Watch a mathematics seminar lecture exploring the relationship between Gromov-Witten invariants of symplectic manifolds and their divisors through the lens of Lagrangian submanifolds. Delve into the concept of Lagrangian potential and its role in understanding J-holomorphic disks, while examining how this potential behaves under lifting to neighborhood spaces. Learn about the generalization of Biran-Khanevski's formula and its applications in proving the existence of infinite families of Lagrangian tori in various symplectic manifolds like complex projective spaces, quadrics, and cubics. The presentation connects to Givental's Quantum Lefschetz formula and demonstrates how these theoretical developments contribute to our understanding of symplectic geometry and related mathematical structures.