Emerging applications of algebraic geometry / Mihai Putinar, Seth Sullivant

Papers from the Workshops on Optimization and Control, held January 16–20, 2007 and on Applications in Biology, Dynamics and Statistics, held March 5–9, 2007 at the University of Minnesota, Minneapolis, MN.
Contents: John P. D'Angelo and Mihai Putinar, Polynomial optimization on odd-dimensional spheres (1–15); Mauricio C. de Oliveira, J. William Helton, Scott A. McCullough and Mihai Putinar, Engineering systems and free semi-algebraic geometry (17–61); Adrian Dobra, Stephen E. Fienberg, Alessandro Rinaldo, Aleksandra Slavkovic and Yi Zhou, Algebraic statistics and contingency table problems: log-linear models, likelihood estimation, and disclosure limitation (63–88); Nicholas Eriksson, Using invariants for phylogenetic tree construction (89–108); Abdul S. Jarrah and Reinhard Laubenbacher, On the algebraic geometry of polynomial dynamical systems (109–123); Jean Bernard Lasserre, Monique Laurent and Philipp Rostalski, A unified approach to computing real and complex zeros of zero-dimensional ideals (125–155); Monique Laurent, Sums of squares, moment matrices and optimization over polynomials (157–270); Claus Scheiderer, Positivity and sums of squares: a guide to recent results (271–324); Konrad Schmüdgen, Noncommutative real algebraic geometry—some basic concepts and first ideas (325–350); Bernd Sturmfels, Open problems in algebraic statistics (351–363)