This is an introductory article which arose from expanded notes for a set of talks given in the GGTI Online Seminars organized by the Gökova Geometry and Topology Institute. We give a mostly self-contained and elementary introduction to the Chekanov torus in \( \mathbb{C}^2\), i.e. the first example of a Lagrangian torus in \( (\mathbb{R}^4,\omega_0) \) which cannot be mapped to a product torus by a symplectomorphism. Our exposition emphasizes the relationship with Hamiltonian torus actions and symplectic reduction, and our goal is to explain how the Chekanov torus can be constructed in more general toric symplectic manifolds. Furthermore, we give a detailed introduction to the technique of versal deformations, which we use, together with the displacement energy of product tori, to prove that the Chekanov torus is not symplectomorphic to a product torus.