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.

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