Joint seminar of Fritz Haber Institute and Institute for Molecular Science, Japan. The design of pi-conjugated nanomaterials is at the vanguard of science and technology taking into account the interest in optoelectronics,nanomagnetism, quantum information and non-trivial quantum phases of matter.In this talk I will revise our efforts in the last couple of years to engineer on surfaces pi-conjugated polymers and networks that could expressnon-trivial topological quantum classes. [more]