SYMMETRY IN NEWCASTLE Location: Room Purdue Room, Great Hall (Callaghan Campus) The University of Newcastle Dates: 12:00 pm, Fri, 15th Mar 2019 - 4:30 pm, Fri, 15th Mar 2019 Schedule: 12-1: Mathai Varghese 1-2: Lunch 2-3: Fedor Sukochev 3-3.30: Tea 3.30-4.30: George Willis Speaker: ARC Laureate Fellow Prof. George Willis, CARMA, The University of Newcastle Title: Zero-Dimensional Symmetry and its Ramifications      This project aims to investigate algebraic objects known as 0-dimensional groups, which are a mathematical tool for analysing the symmetry of infinite networks. Group theory has been used to classify possible types of symmetry in various contexts for nearly two centuries now, and 0-dimensional groups are the current frontier of knowledge. The expected outcome of the project is that the understanding of the abstract groups will be substantially advanced, and that this understanding will shed light on structures possessing 0-dimensional symmetry. In addition to being cultural achievements in their own right, advances in group theory such as this also often have significant translational benefits. This will provide benefits such as the creation of tools relevant to information science and researchers trained in the use of these tools. Speaker: ARC Laureate Fellow Mathai Varghese, The University of Adelaide Title: Advances in Index Theory      The project aims to develop novel techniques to investigate Geometric analysis on infinite dimensional bundles, as well as Geometric analysis of pathological spaces with Cantor set as fibre, that arise in models for the fractional quantum Hall effect and topological matter, areas recognised with the 1998 and 2016 Nobel Prizes. Building on the applicant's expertise in the area, the project will involve postgraduate and postdoctoral training in order to enhance Australia's position at the forefront of international research in Geometric Analysis. Ultimately, the project will enhance Australia's leading position in the area of Index Theory by developing novel techniques to solve challenging conjectures, and mentoring HDR students and ECRs. Speaker: ARC Laureate Fellow Fedor Sukochev, University of NSW Title: Breakthrough methods for noncommutative calculus      This project aims to solve hard, outstanding problems which have impeded our ability to progress in the area of quantum or noncommutative calculus. Calculus has provided an invaluable tool to science, enabling scientific and technological revolutions throughout the past two centuries. The project will initiate a program of collaboration among top mathematical researchers from around the world and bring together two separate mathematical areas into a powerful new set of tools. The outcomes from the project will impact research at the forefront of mathematical physics and other sciences and enhance Australia's reputation and standing. [Permanent link]