Dr. Vera Roshchina
University of New South Wales
Faces of convex sets: dimensions and regularity
The facial structure of convex sets can be surprisingly complex, and unexpected irregularities of the arrangements of faces give rise to badly behaved sets. I will focus on specific properties of facial structure that capture irregularities (dimensions of faces, singularity degree, facial exposure and facial dual completeness). I will also talk about some classic results related to faces of convex sets, mention new results and counterexamples and will relate this to some open problems.
Thursday 29 October 1PM Sydney time