Janin Heuer (Technische Universität Braunschweig)

2019/10/08, 09:30 **(sharp!)**

Before the talk by Jan Draisma at the "Opening conference of the thematic semester in algebraic geometry" .

Before the talk by Jan Draisma at the "Opening conference of the thematic semester in algebraic geometry" .

FU Berlin, at room HS A (ground floor), Arnimallee 22

Mathematicians have been studying nonnegativity of real polynomials since as early as the 19th century. Nonnegativity certificates are an important tool in these investigations, giving easier to check, sufficient conditions for nonnegativity. In this talk we will motivate the study of nonnegativity by relating it to polynomial optimization. Furthermore, we will define the nonnegativity certificates sums of squares (SOS) and sums of nonnegative circuit polynomials (SONC).