Noncommutative Geometry and Noncommutative Invariant Theory (22w5084)

The Banff International Research Station will host the "Noncommutative Geometry and Noncommutative Invariant Theory" workshop in Banff from September 25 - 30, 2022.

Noncommutativity is a truly ubiquitous phenomenon, which at its most basic level says that the order in which one performs operations matters in general. This observation, while very simple, has profound implications in both mathematics and physics. In particular, during the early development of quantum mechanics, it was realized that a noncommutative framework was necessary to have understanding of events that occur at the quantum scale. This, in turn, led to significant advances in the development of many branches of mathematics---including functional analysis, representation theory, noncommutative algebra---in order to provide a supporting framework for these physical theories.

Now, more than a hundred years later, noncommutative algebra, especially in its connections to geometry, is a thriving area of active research, with significant new advances being made every year. Our workshop has the goal of bringing together researchers to allow for both the dissemination of recent advances in these areas and for collaboration between researchers working on these topics.

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).