Rainer Sinn; Positive semidefinite matrix completion and sums of squares

Nov 15, 2016, 4pm
SAV 131
Rainer Sinn, School of Mathematics, Georgia Institute of Technology

Abstract: I will discuss the positive semidefinite matrix completion problem arising in combinatorial statistics and explain how we can use results in algebraic geometry (or combinatorial commutative algebra) to understand it better. The object linking the two different areas is the cone of sums of squares and its properties as a convex cone.