Operator Algebras and Dynamics Seminar
All talks are from 3:45-4:45 p.m. in the Seminar room, unless otherwise specified.
Sep 05The Kadison-Singer Problem (part 1) Vrej Zarikian USNA
View AbstractThe Kadison-Singer Problem was a famous open problem in the theory of operator algebras, posed in 1959. It was recently (and completely unexpectedly) solved (in the affirmative) by three computer scientists: Adam Marcus, Daniel Spielman, and Nikhil Srivastava. Their proof is both novel and (in a sense) elementary. In this series of lectures I will give a detailed account of their proof. The first lecture will explain the problem as well as some of its many reformulations. I will also introduce and explore the properties of "real stability" for complex polynomials, a key ingredient of the proof.