Conformal and CR Geometry (24w5260)


Jeffrey Case (Penn State University)

(Sapienza Università di Roma)

Pengfei Guan (McGill University)

(Scuola Normale Superiore)

Yi Wang (Johns Hopkins University)


The Banff International Research Station will host the “Conformal and CR Geometry” workshop in Banff from December 1 - 6, 2024.

Conformal and CR geometry are the study of properties of spaces and mappings which depend on the measurement of angles but not of lengths. Recent progress in both fields is closely related to ideas and questions which arise in the AdS/CFT correspondence in string theory. In particular, Poincar\'e--Einstein metrics, which are solutions of the vacuum Einstein equations with prescribed conformal or CR data at infinity, play a key role in both fields.

This workshop is organized around recent progress in understanding the existence and uniqueness of Poincar\'e--Einstein metrics, a related question for minimal submanifolds, and applications thereof to $Q$ and $Q^\prime$-curvatures, scattering theory, and related fully nonlinear PDEs.

It will bring together experts from a variety of mathematical backgrounds with the goals of furthering our understanding of conformal and CR geometry and of strengthening the connections and analogies between the two fields.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta’s Advanced Education and Technology, and Mexico’s Consejo Nacional de Ciencia y Tecnología (CONACYT).