Title: Some theorems on the restriction of operator to coordinate subspace and Ф-widths estimates
Speaker: Boris Kashin, Steklov Mathematical Institute of Russian Academy of Science
Date: Tue, 17/03/2020 – 11:05am
Venue: RC-4082, The Red Centre, UNSW (Request for remote connect: qlegia (at) unsw.edu.au)
Abstract: Theorems of different nature concerning the restriction of operator to coordinate subspace and their application in Analysis and Approximation theory will be discussed.

Speaker: Dr Matthew Tam, School of Mathematics and Statistics at the University of Melbourne

Title: Algorithms derived from dynamical systems

Date and Time: Friday, March 13th, 3.00pm – 4.00pm, 2020.

Location: AGR Building 15, level 03, room 10 (Request for remote Zoom connect andy.eberhard (at) rmit.edu.au)

Abstract: The study of continuous time dynamical systems associated with iterative algorithms for solving optimisation problems has a long history which can be traced back at least to 1950s. The relationship between the continuous and discrete versions of an algorithm provides a unifying perspective which gives insights into their behaviour and properties. In this talk, I will report on new algorithms for solving minmax problems which were discovered by exploiting this connection.

Title: Remarks on numerical integration, discrepancy, and diaphony

Speaker: Vladimir Temlyakov, Steklov Mathematical Institute of Russian Academy of Science

Date: Tue, 10/03/2020 – 11:05am

Venue: RC-4082, The Red Centre, UNSW (Request for remote connect: qlegia (at) unsw.edu.au)

Abstract: The goal of this talk is twofold. First, we present a unified way of formulating numerical integration problems from both approximation theory and discrepancy theory. Second, we discuss some upper and lower bounds for recently developed new type of discrepancy — the smooth discrepancy.