Pour recevoir le programme par e-mail, écrivez à : antoine.ducros@imj-prg.fr
Orateur(s)
Olivier Benoist - C.N.R.S. et ENS,
Titre
Sums of squares of real-analytic functions.
Date
17/01/2025
Horaire
16:00 à 17:30
Diffusion
Résume
Artin solved Hilbert's 17th problem by showing that any real polynomial in n variables that is nonnegative is a sum of squares of rational functions. Pfister improved quantitatively Artin's theorem by showing that 2^n squares suffice. In this talk, we will present new quantitative results à la Pfister in the real-analytic setting (where polynomials are replaced with real-analytic functions).
