Séminaires : Structures algébriques ordonnées

Equipe(s) : lm,
Responsables :F. Delon, M. Dickmann, D. Gondard
Email des responsables : dickmann@math.univ-paris-diderot.fr
Salle : 1016
Adresse :Sophie Germain

Mardi de 14h00 à 15h45
Page du séminaire et programme
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Orateur(s) Daniel Plaumann - University of Dortmund, Germany,
Titre Hyperbolic polynomials and interlacers
Horaire14:15 à 16:00
RésumeA real polynomial in one variable is real-rooted if and only if it is the characteristic polynomial of a real symmetric matrix. Hyperbolic polynomials are the multivariate generalizations of real-rooted polynomials and their relation to matrices is far more intricate. A key role is played by interlacing polynomials, whose zeros are nested in between those of a given hyperbolic polynomial. This talk will survey some known results as well as work in progress.
AdresseSophie Germain