By Toke M. Carlsen,Nadia S. Larsen,Sergey Neshveyev,Christian Skau
Like the 1st Abel Symposium, held in 2004, the Abel Symposium 2015 considering operator algebras. it truly is attention-grabbing to determine the striking advances which have been made in operator algebras over those years, which strikingly illustrate the power of the sector. a complete of 26 talks got on the symposium on a number of issues, all highlighting the richness of the subject.
The box of operator algebras used to be created within the Nineteen Thirties and used to be stimulated through difficulties of quantum mechanics. It has for this reason built well past its preliminary meant realm of purposes and increased into such different components of arithmetic as illustration conception, dynamical structures, differential geometry, quantity thought and quantum algebra. One department, referred to as “noncommutative geometry”, has develop into a robust software for learning phenomena which are past the succeed in of classical analysis.
This quantity comprises examine papers that current new effects, surveys that debate the advance of a particular line of study, and articles that supply a mixture of survey and learn. those contributions supply a multifaceted portrait of lovely arithmetic that either beginners to the sphere of operator algebras and pro researchers alike will appreciate.
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