**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.