Spectral Synthesis and Weak Amenability of Uniform Algebras (23rit009)

The Banff International Research Station will host the "Spectral Synthesis and Weak Amenability of Uniform Algebras" workshop in Banff from April 16 to April 30, 2023.

This project will advance research at the interface of complex analysis and functional analysis, areas of mathematics that provide the mathematical tools used most in physics, engineering, and computational chemistry. Building on their successful solutions to related problems, the investigators will study two longstanding problems at this interface concerning a certain class of algebras called uniform algebras. These problems concern weak amenability and spectral synthesis. These two concepts have played an important role in the context of abstract harmonic analysis where they are well understood, but they are currently not understood at all in the context of uniform algebras. This project aims to fill this gap in our understanding. The results of this research project will be disseminated via talks in seminars and conferences and via publications in widely available journals.

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).