This class will introduce basic notions and techniques in real algebraic geometry,Ĭonvexity, and conic optimization. The areas of mathematics primarily investigating these objects areConvex AnalysisandReal Algebraic Geometry, respectively. Semialgebraic setscan be described by combining polynomialinequalities by simple logical operations. May 23-29, 2010: Oberwolfach Seminar: Semidefinite Optimization: Theory, Algorithms and Applications. Convex setshave the property that one can move between any two of its pointsalong a straight line without leaving the set. March 22-25, 2010: Tutorial Workshop: Linear Matrix Inequalities and Polynomial Optimization San Diego. Math 582G: Convex Algebraic Geometry (Winter 2022)Ĭonvex algebraic geometry involves the study of convex objects defined by real polynomial inequalities using the interplay of their convex and algebraic structure, with a special emphasis on those appearing in convex optimization. Feb 14-19, 2010: Banff workshop on Convex Algebraic Geometry. On the other hand, numerical solvers for convex optimization have led to new fast algorithms in real algebraic geometry.
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