Nonlinear Algebra and Statistics (NLASTATS) Seminar by Gregory G. Smith: Sums of Squares and Projective Geometry
Speaker: , professor of mathematics and statistics, Queen鈥檚 University
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.
Nonlinear Algebra and Statistics Seminar
Event Contact
