Events
DMS Colloquium: Gregory G. Smith |
| Time: Nov 10, 2023 (04:00 PM) |
| Location: 010 ACLC |
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Details: Refreshments 3:30 p.m., Parker 244
Speaker: Greg Smith (Queen's University, Kingston, Ontario, CA) Title: Sums of Squares and Projective Geometry
Abstract: 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. In this talk, we will review some classical methods for certifying that a polynomial is nonnegative. We will then present novel certificates in some important cases.
This talk is based on joint work with Grigoriy Blekherman, Rainer Sinn, and Mauricio Velasco.
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