Semialgebraic optimization — M2 ACSYON    Website of Community - M2 ACSYON : Community M2 ACSYON    The course is given jointly with Didier Henrion (CNRS LAAS Toulouse) Lecture Notes    Lecture I — Equivalence of semialgebraic optimization and positivity (pdf)    Lecture II — Certificates of positivity via Semidefinite Programming (pdf)    Lecture III — Univariate optimization over intervals, Positivstellensätze (pdf)    Lecture IV — Semialgebraic optimization and the moment problem (pdf)    Lecture V — Moment and localizing matrices, Flat extensions (pdf)    Lecture VI-VII — Lasserre hierarchy and convergence (pdf) References J.B. Lasserre. An introduction to polynomial and semi-algebraic optimization. Vol. 52. Cambridge University Press, 2015. J.B. Lasserre. Moments, positive polynomials and their applications. Vol. 1. World Scientific, 2009. D. Henrion, J.B. Lasserre, J. Löfberg. Gloptipoly 3: moments, optimization and semidefinite programming. S. Boyd, L. Vanderberghe. Semidefinite programming. SIAM Review, Vol. 38, No. 1. (Mar., 1996), pp. 49-95