Previously, we discussed Eliashberg's cotangent bundle question: Are manifolds diffeomorphic if and only if their cotangent bundles are symplectomorphic? Today, our focus shifts to Arnold's nearby Lagrangian conjecture: Let $M$ be a compact smooth manifold. Then, every compact, orientable, exact Lagrangian submanifold $L \subset T^*M$ is Hamiltonian isotopic to the zero section $M \subset T^*M$.