Mathematical Sciences: Sums of Powers of Linear Forms

这个项目是关于极值形式的研究。主要研究人员将研究实数和复数域上线性形式的d次方和，以及半正定形式不必是形式平方和的情况。本研究涉及实半正定式的研究。它涉及到代数、不等式和几何之间的相互作用。

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.