Abstract: In this seminar, I will talk about the integrable lattice realizations of conformal twisted boundary conditions for $sl(2)$ unitary minimal models. The conformal field theories are realized as the continuum scaling limit of critical $A$-$D$-$E$ lattice models with positive spectral parameter. These integrable seam boundary conditions are associated with the nodes of Ocneanu quantum graph. The talk is at introductary level.