On Complex Notions of Convexity (23rit006)


Purvi Gupta (Indian Institute of Science)

Anne-Katrin Gallagher (Gallagher Tool & Instrument, LLC)

Liz Vivas (Ohio State University)


The Banff International Research Station will host the "On Complex Notions of Convexity" workshop in Banff from March 26 to April 1, 2023.

The study of metrics invariant under biholomorphic mappings is of great importance in the field of Several Complex Variables as understanding any invariant notions provides tools for the biholomorphic equivalence problem. Two such metrics, the Kobayashi and the Carath{\'e}odory metrics, are known to be equal when certain geometric and regularity conditions are imposed on the boundary of the domain in consideration. This Research-in-Teams group will investigate how to weaken these conditions further.

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).