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VADOR / Events / AKOR Seminar: Convex cones and their properties: a geometric perspective, Vera Roshchina, UNSW Sydney
07. March 2024, 15:00 until 17:00
AKOR Seminar: Convex cones and their properties: a geometric perspective, Vera Roshchina, UNSW Sydney
Presentation
Many properties of facial structure of convex sets coincide in the real vector spaces of dimensions 2 and 3 but differ in higher dimensions. This talk will cover several such properties and their relations, including facial exposure, facial dual completeness (niceness), amenability and projectional exposure. Even though the definitions of these properties are of a different nature, they form a neat hierarchy. Some new techniques that allow using geometric intuition in four- and five-dimensional spaces will be presented.
The talk is based on joint work with Bruno Lourenço (The Institute of Statistical Mathematics/SOKENDAI, Japan) and James Saunderson (Monash University, Australia).

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