06 Dec

Talk at New Trends in Optimization and Variational Analysis for Applications, Quy Nhon

The NewTOVAA conference is organised in honour of Prof. Michel Théra on his 70th birthday. I’ll be giving an updated version of my talk on facial structure.

Dates 7-10 December 2016
Location: Quy Nhon University, Vietnam
Title: Facial structure of convex sets
Abstract: The facial structure of finite dimensional closed convex sets can be unexpectedly complex. I will talk about the dimensions of faces of closed convex sets and some interesting questions that arise from the study of this topic. I will also talk about characterising the regularity of facial arrangements such as facial exposure and facial dual completeness that arise from applications.

This talk is based on joint work with
Tian Sang (RMIT University)
Levent Tunçel (University of Waterloo)
and David Yost (Federation University Australia).

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26 Nov

Outer limits of subdifferentials for min-max type functions

This talk for the WoMBaT workshop is a shorter version of recent presentations on subdifferential calculus with some additional insights that I learned recently from Kaiwen Meng and Minghua Li.

Title: Outer limits of subdifferentials for min-max type functions
Abstract: Outer limits of subdifferentials is a limiting construction that can be used to estimate the error bound modulus. We present some new result related to the evaluation of such limiting subdifferentials for max-type and min-max functions.
The talk is based on joint work with Andrew Eberhard and Tian Sang (RMIT University).

24-25 November 2016, WoMBaT workshop (RMIT University, Melbourne)

Please visit the WoMBaT web page for the slides of exciting talks given by my colleagues this week on topics related to error bounds and transversality.

10 Oct

Workshop on Metric Bounds and Transversality (WoMBaT 2016)

wombat

The meeting will be held in Melbourne (RMIT City Campus, room 8.9.66) on 24–25 November.

The topics of the workshop include error bounds, metric (sub) regularity, Aubin property and calmness, transversality of collections of sets, subdifferential characterisations and applications of these properties to estimating the convergence of fundamental optimisation algorithms. Our keynote is Professor Marco Lopez from the University of Alicante, Spain, who is visiting Australia in November.

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30 Jul

Talk at Federation University Australia

Speaker: Dr Vera Roshchina, RMIT University

Date and Time: Tuesday 2 August 2016, 11:00am

Title: Subdifferentials of structured functions

Abstract:

I will talk about geometric construction of Fréchet and limiting subdifferentials for finite minima of functions subdifferentiable in the sense of Demyanov-Rubinov. Such functions have convex directional derivatives and under additional assumptions their subdifferentials preserve enough directional information to make such construction possible. For instance, approximate convex functions introduced by Huynh Van Ngai, Dinh The Luc and Michel Théra satisfy such assumptions.

These results are in the same spirit as the classic expressions for the Clarke subdifferential in terms of quasidifferentials originally developed by Demyanov and Rubinov.

The talk will be based on some old papers and recent joint work with Tian Sang (RMIT University).

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Additional drawing