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Invited talk

Friday, July 23, 14:45 ~ 15:45 UTC-3

Nonnegative polynomials on algebraic curves and surfaces

Mauricio Velasco

Universidad de los Andes, Colombia   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk I will describe some recent results on the characterization of those polynomials that are nonnegative on a variety $X$ in $\mathbb{R}^n$. In the first part of the talk I will explain why this is an interesting problem: it turns out to have a wealth of applications ranging from nonconvex optimization to stochastic control. In the second part of the talk I will explain how this problem can be approached on algebraic curves and surfaces.

Joint work with G. Blekherman (GA Tech), R. Sinn (U. Lepizig) and G.G. Smith (Queen's U).

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