Mathematics Colloquium
Speaker: Manoj K Keshari (IIT Bombay)
Title: Positive polynomials and sums of squares
Time, day and date: 4:00:00 PM - 5:00:00 PM, Wednesday, September 3
Venue: Ramanujan Hall
Abstract: Given a closed set K in R^n, where R denote the real numbers, it is an important problem to decide whether a given polynomial in n variables is non-negative on K. We will start with two motivations to study non-negative polynomials. Then we will discuss the following descent problem: If f has rational coefficients and there is a certificate over R that f is non-negative over K, can one find such a certificate over rational numbers.