The Lax conjecture is true
arXiv:math/0304104 · doi:10.1090/S0002-9939-05-07752-X
Abstract
In 1958 Lax conjectured that hyperbolic polynomials in three variables are determinants of linear combinations of three symmetric matrices. This conjecture is equivalent to a recent observation of Helton and Vinnikov.
7 pages, Proceedings to the AMS, to appear. Added background material