Seminar
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| Location: | SLMath: Commons Room |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
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A multivariate real polynomial is nonnegative if its value at any real point is greater than or equal to zero. These special polynomials play a central role in many branches of mathematics including algebraic geometry, optimization theory, and dynamical systems. However, it is very difficult, in general, to decide whether a given polynomial is nonnegative. After reviewing some classic methods for verifying that a polynomial is nonnegative, we will present a novel certificate or two. This talk is based on joint work with Grigoriy Blekherman, Rainer Sinn, and Mauricio Velasco.
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