Mathematical Sciences: Sums of Powers of Linear Forms

这个项目是关于极值形式的研究。 主要研究者将研究以下各项的d次幂之和： 在真实的和复数域上的线性形式 当半正定形式不需要是和时， 各种形式的正方形。 本研究是关于真实的正半 明确的形式。它涉及到代数之间的相互作用， 不等式和几何

This project is concerned with research on extremal forms. The principal investigator will study sums of d-th powers of linear forms over the fields of real and complex numbers as well as situations when positive semi-definite forms need not be sums of squares of forms. This research concerns the study of real positive semi- definite forms. It involves interplay among algebra, inequalities and geometry.