Geometric PDE and Applications to Problems in Conformal and CR Geometry

Conformal geometry is the study of properties of spaces and mappings which depend on the measurement of angles but not of lengths. An example is the stereographic projection mapping from a sphere to a plane, which distorts lengths but preserves angles. Mathematicians have made much progress in recent years in the study of conformal geometry by using and developing new tools and methods from a variety of mathematical fields, including analysis, non-linear PDE and topology. This workshop will bring together experts from a variety of mathematical backgrounds with the goal of furthering our understanding of conformal geometry and its complex number analogue, CR geometry.