Speaker: Ms Hoa Thi Bui
Federation University Australia
Title: Quasiconvexity and robust quasiconvexity
Date and time: Friday, 3 February 2017, 4:00-5:00pm.
Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus
Abstract: A quasiconvex function, or a level-convex function, is a function whose sublevel sets are convex. And, the class of functions which are stable in term of the quasiconvexity under the sufficiently small linear perturbations is called robustly quasiconvex functions. This aims to give a concept of generalised convexity, at which many important properties of the convexity still hold under a relatively small perturbation. Then, the quasiconvexity and robust quasiconvexity of lower semicontinuous functions are characterized by means of Fréchet and limiting subdifferentials.
Bio: Hoa Thi Bui has recently arrived from Vietnam to take up a PhD position at Federation University. She comes from Quang Ngai, Vietnam and up until recent graduation, studied Mathematics at Ho Chi Minh City, University of Pedagogy, Vietnam.
Her PhD Supervisors are Prof. Alex Kruger and Prof. David Yost.