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Gregory G. Smith: Sums of squares on surfaces

Time: Wed 2023-10-18 13.15 - 14.15

Location: KTH, 3418

Participating: Gregory G. Smith (Queen's university)

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How do we effectively verify that a polynomial function is nonnegative? We will certify nonnegativity by exhibiting a nonnegative multiplier such that the product is a sum of squares. We will survey a few known results before focusing on some new bounds. Unexpectedly, our novel techniques are particularly well-suited for producing bounds on the degrees of nonnegative functions on ruled surfaces. This talk is based on joint work with Grigoriy Blekherman, Rainer Sinn, and Mauricio Velasco.

Belongs to: Stockholm Mathematics Centre
Last changed: Oct 15, 2023