turkmath.org

The Kadison-Singer problem, formulated in 1959 by Richard Kadison and Isidore Singer was one of the outstanding problems in operator algebras. Over the years, researchers in diverse areas of mathematics realized that this problem was equiva- lent to several other concrete problems. This problem was solved in 2013 by Adam Marcus, Daniel Spielman and Nikhil Srivastava.Their proof contains a variety of very deep insights and their techniques are likely to be of interest to people work- ing not merely in functional analysis, but also areas like harmonic analysis, signal processing, graph theory and random matrix theory.

Speakers :
Betül Tanbay (Boğaziçi University)
Mohan Ravichandran (Mimar Sinan Fine Arts University)

Schedule :
Friday, May 15
11:00-12:00 Tanbay The history of the KSP. The various approaches over the years, including Anderson’s paving formulation.
13:00-14:30 Ravichandran High level outline of the Marcus-Spielman-Srivastava proof.
15:00-16:30 Ravichandran The proof of the Restricted invertibility principle. Real stable and hyperbolic polynomials.
Saturday, May 16
10:00-11:30 Ravichandran Multivariable interlacing, multivariate barrier func- tions, The proof of the KSP.
12:00-13:30 Ravichandran Generalization of the MSS theorem to hyperbolic poly- nomials. Open problems.

tanbay@boun.edu.tr