**"****The Kadison-Singer Problem****"**

By

**AURELIAN GHEONDEA**

**(BİLKENT UNIVERSITY)**

**Abstract: **On the 28th of June 2013, an important event happened in the mathematical
community: A. Marcus, D.A. Spielman, and N. Srivastava posted a manuscript on arXiv
that contained a proof of the Kadison-Singer Problem,
a famous and very important problem in operator algebras that was posed in 1959
by R. Kadison and I. Singer. The importance of the Kadison-Singer Problem relies not only on the fact that it
clarifies some important aspects in the foundation of Quantum Physics, but also
on the fact that, during the 54 years of efforts of proving it, many other problems
in operator theory, Banach space theory, harmonic
analysis, and signal processing proved to be equivalent with it. In this
seminar talk we will explain what the Kadison-Singer
problem is and where is it coming from, and then present some of its reductions
and the main result of Marcus-Spielman-Srivastava
that finally proved it.

**Date: ****Tuesday, March 18, 2014**

**Time: ****15:40**

**Place: ****Mathematics Seminar Room,
SA-141**

Tea and cookies will be served before the
seminar.