The Many Faceted Connes Embedding Problem (19w5163)


(University of Vermont)

Marius Junge (University of Illinois at Urbana-Champaign)

Carlos Palazuelos (Universidad Complutense de Madrid)

(University of Waterloo)


The Banff International Research Station will host the "The Many Faceted Connes Embedding Problem" workshop in Banff from July 14, 2019 to July 19, 2019.

This workshop is motivated by the recent ferment of activity on the Connes embedding problem, which has been a major open question for over 40 years. During that time, the problem was reformulated in several different areas of mathematics. In 2011, it was shown to be connected to some basic questions in quantum theory, which led to the realization that it also has important implications in computer science. There was a major breakthrough in 2016 when a new type of non-local game was constructed which solved a related question and has important implications for our understanding of quantum correlations. Participants from mathematics, quantum information theory, and computer science will gather to learn about the most recent developments and the implications for their fields. We anticipate this interdisciplinary interaction will lead to further advances.

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).