Homological Mirror Symmetry - Lagrangian SYZ Fibrations

Explore a comprehensive lecture on Lagrangian SYZ Fibrations presented by Ilia Zharkov from Kansas State University. Delve into the construction of a symplectic manifold X and its Lagrangian torus fibration X \to B, extending from an integral affine manifold B with (semi-)simple singularities D in codimension 2. Examine the process of building local models, including the intriguing Liouville skeleton, and the subsequent gluing techniques. Gain insights into this collaborative project involving CY. Mak, D. Matessi, and H. Ruddat, covering topics such as inspiration, assumptions, similarities, different opportunities, potentials, domains, project structure, evolution, discriminant, and construction.