Fields institute, Room 210
Speaker: Ilijas Farah
Title: The other Kadison–Singer problem
Abstract: In their famous 1959 paper Kadison and Singer posed two problems.
The famous one was recently solved by Marcus, Spielman and Srivastava,
using work of Weaver. The other (much more set-theoretic) Kadison-Singer
problem was resolved using the Continuum Hypothesis by Akemann and
Weaver in 2008. This assumption was weakened to Martin’s Axiom by myself and Weaver, but the question remains whether the answer is independent from ZFC.