Séminaire Gaston Darboux :

Le 28 mai 2010 à 14:00 - salle 431

Présentée par Varchenko Alexander - University of North Carolina

Shapiro's conjecture in real algebraic geometry and integrable systems

The Shapiro conjecture says that if the Wronskian of a set of polynomials has real roots only, then the complex span of this set of polynomials has a basis consisting of polynomials with real coefficients. The proof of this fact is surprising. It is based on the theory of quantum integrable systems.