On the rank of Hermitian polynomials and the SOS Conjecture
Several Complex Variables Seminar
Speaker Yun Gao Shanghai Jiao Tong U Hilbert's 17-th problem asked whether a non-negative polynomial in several real variables must be a sum of squares of rational functions. There is also a quantitative version of Hilbert's 17th problem which asks how many squares are needed. D'Angelo extend this problem to more general case …