Seminar - Vera Roshchina

Weird Convex Cones and Geometric Properties of Ill-posed Conic Problems

Abstract: 

I will present several results related to the structural properties of finite- dimensional convex cones. I will focus on a recently discovered example of a four-dimensional cone that is facially exposed, but not facially dual complete (or nice), that disproves an earlier conjecture that these two properties are equivalent, and on a dual characterization of generalized Goldman-Tucker partition for ill-posed feasibility problems on multifold cones.