The discussion centers on the conformal mapping of an aerofoil at incidence, with participants confirming that the Joukowski transformation is indeed relevant. The transformation utilizes complex numbers and is linked to conformal mapping principles. One user expresses uncertainty about their implementation, noting that their program successfully plots zero incidence but fails with added incidence, resulting in unexpected outputs. The conversation highlights the challenges of applying the Joukowski transformation in practical scenarios. Overall, the topic emphasizes the importance of understanding complex transformations in aerodynamics.