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学术海报

2016年11月07日

上午
10:00

Facial structure of convex sets(凸集合的面的结构)

讲座题目:Facial structure of convex sets(凸集合的面的结构)

讲座内容简介:The facial structure of general closed convex cones can be rather complex (often surprisingly so). I will talk about different notions that capture the regularity properties of facial arrangements, which are important for a range of theoretical results and algorithms. In particular, I will focus on facial exposedness and facial dual completeness and the relation between then. I will talk about the Pataki sandwich theorem, introduce some new conditions and show illustrative examples.

 

主讲人简介:Dr. Vera Roshchina is a DECRA Research Fellow at the School of Science, RMIT University. She works on finite dimensional optimisation problems, focussing on the geometry of underlying objects. This includes subdifferential calculus in finite dimensions and the study of facial structure of convex sets. Vera received her Ph.D. in applied mathematics from the City University of Hong Kong in 2009. Prior to joining RMIT University in 2015 she held postdoctoral positions at University of Evora (Portugal), Federation University Australia and The University of Melbourne. She has published around 30 papers in international journals in the areas of subdifferential calculus, real complexity and dynamical systems.

家墨尔本理工大学科学学院DECRA研究员Vera Roshchina

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