Special Session 33: Quantitative Results in Real Algebra and Geometry Wed., June 18: 19:00-19:20 M.F. Roy, "Virtual real roots, Budan Fourier theorem, Bernstein basis and root isolation" 19:30-19:50 P. Parrilo, "Sums of squares decompositions for structured polynomials" Thurs, June 19: 11:30-11:50 J. Huisman, "On the enumerative geometry of real algebraic curves" 12:30-12:50 M. Izquierdo, "Ovals of real cyclic p-gonal Riemann surfaces" 13:00-13:20 C. Delzell, "The degree of difficulty in avoiding singularities when writing polynomials as sums of squares of real rational functions" 15:30-15:50 N. Schwartz, "Positive polynomials on semialgebraic sets" 16:00-16:20 F. Acquistapace, "Global semianalytic sets" 16:30-16:50 N. Vorobjob, "Bounds on Betti numbers of semialgebraic sets" 17:30-17:50 M. Schweighofer, "The complexity of Schmuedgen's Positivstellensatz with applications to optimization" 18:00-18:20 J. Fernando, "Relations between the Pythagoras number of analtyic germs" 18:30-18:50 S. Basu, "Computing the Betti numbers of arrangements via spectral sequences" 19:00-19:20 P. Velez, "An algorithm for convexity of semilinear sets over ordered fields" 19:30-19:50 L. Gonzalez-Vega, "Computational aspects of the Pierce-Birkhoff" Sat., June 21 9:30-9:50 S. Kuhlmann, "Representations of polynomials positive on subsets of the real" line, with applications to the multidimensional moment problem" 10:00-10:20 G. Blehkerman, "Convexity properties of the cone of nonnegative polynomials" 10:30-10:50 B. Reznick, "Eight points in the plane"