Topics in Conformal and Cauchy-Rieman (CR) Geometry: Recent Developments in Conformal Geometry

Over the course of the semester, we develop the analysis of CR structure along the lines for conformal geometry. The main analytic tools are several conformally covariant operators, which give rise to curvature invariants. The course covers the embedding problem, the CR version of Yamabe problem and Q-prime curvature equations.