CAM colloquium - Friday, March 11
3:30 p.m.
655 Rhodes Hall

Speaker: Javier Pena, Carnegie Mellon University

 

Title: Optimization and Positive Polynomials

Abstract: This talk highlights recent developments in optimization in connection with constructive procedures for obtaining sum of squares representations for real positive polynomials.

The interest in finding connections between positive polynomials and sums of squares dates back to Hilbert's 17th problem in which he asked whether a real positive polynomial in several variables must be a sum of squares of rational functions. For some time scholars in real algebraic geometry have studied related questions regarding certificates of positivity. More recently, scholars in optimization have recognized a set of connections between modern optimization techniques and these certificates of positivity. I will discuss some of the current interesting interactions between these disciplines.

Refreshments at 4:30 in 657 Rhodes Hall.