Lectures on Lagrangian Torus Fibrations

Symington''s almost toric fibrations have played a central role in symplectic geometry over the past decade, from Vianna''s discovery of exotic Lagrangian tori to recent work on Fibonacci staircases. Four-dimensional spaces are of relevance in Hamiltonian dynamics, algebraic geometry, and mathematical string theory, and these fibrations encode the geometry of a symplectic 4-manifold in a simple 2-...