Martin Argerami: Classification of Operator Systems

Operator Systems were implicitly introduced by Arveson in 1969 and formalized by Choi-Effros in 1977. They are the natural domain for complete positivity, and they are surprisingly intricate, even in the finite-dimensional case. Arveson developed a representation theory for them in 1969, which was not completed until 2013. We will discuss this theory, the classification problem, and consider concrete examples.