A descriptive set-theoretic view of classification in operator algebras
Asger Tornquist (University of Copenhagen)
Tuesday 14th October, 2014 16:00-17:00 Maths 416
Descriptive set theory, which can be described as the study of reasonable (=definable) sets and functions on separable metric spaces, has in recent years been used to study classification problems in a variety of areas of mathematics. Operator algebra, and the classification problems found there, has been one of the targets of this program. In this talk, I will give an overview of these developments, and explain in particular why descriptive set theory offers a useful global approach to the complexity of classification problems in analysis. I'll also hope to mention a few open problems.