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).

View abstract PDF