Lagrangian Tori at Radius Zero - Construction and Properties in Kahler Manifolds

Explore a one-hour lecture on constructing Lagrangian tori in degenerations of Kahler manifolds, featuring innovative techniques for maximally degenerate families of Calabi-Yaus. Learn about tori with specific asymptotic properties aligned with the SYZ picture, including volume-filling characteristics and collapse in Gromov-Haudsdorff metric to the essential skeleton minus codimension 2 faces. Discover the A'Campo space construction and its hybrid coordinates, which extend degenerations from punctured disks to annuli. Master the mathematical foundations behind fiberwise Kahler form definition, which exhibits asymptotic Ricci flatness in generic regions and enables tori movement from boundary to nearby fibers along symplectic connections.