Tuesday, 19th Nov 2019SR202, SR Building
James Evans(University of Western Australia)
Generalised Polygons and their Symmetries
Generalised polygons were first introduced by Jacque Tits in 1959, in the context of studying geometric realisations of the finite simple groups of Lie type. Thus, the study of their symmetry groups and symmetry properties is a rich area of research. My work has focused on studying the point-primitive quadrangles. In my talk I will describe a computer program for testing whether a particular group can act point-primitively on a generalised quadrangle and its application to analysing the almost simple sporadic groups. My work on this program motivated the discovery of a new result dubbed the Line Orbit Lemma, which in turn inspired the conjecturing of the Hemisystem Conjecture, both of which could prove very useful in the analysis of point-primitive quadrangles.
9:00 am — 5:00 pm
Wednesday, 20th Nov 2019Noah's On the Beach [Newcastle, NSW]
Friday, 22nd Nov 2019SR202, SR Building
Prof Ke Chen(University of Liverpool)
Optimization Methods for Inverse Problems from Imaging
Optimization is often viewed as an active and yet mature research field. However the recent and rapid development in the emerging field of Imaging Sciences has provided a very rich source of new problems as well as big challenges for optimization. Such problems having typically non-smooth and non-convex functionals demand urgent and major improvements on traditional solution methods suitable for convex and differentiable functionals.
This talk presents a limited review of a set of Imaging Models which are investigated by the Liverpool group as well as other groups, out of the huge literature of related works. We start with image restoration models regularised by the total variation and high order regularizers. We then show some results from image registration to align a pair of images which may be in single-modality or multimodality with the latter very much non-trivial. Next we review the variational models for image segmentation. Finally we show some recent attempts to extend our image registration models from more traditional optimization to the Deep Learning framework.
Joint work with recent and current collaborators including D P Zhang, A Theljani, M Roberts, J P Zhang, A Jumaat, T Thompson.
Monday, 25th Nov 2019LSTH, Life Sciences Lecture Theatre
Dr Holly Krieger(University of Cambridge)
Transcendence and dynamics
Many interesting objects in the study of the dynamics of complex algebraic varieties are known or conjectured to be transcendental, such as the uniformizing map describing the (complement of a) Julia set, or the Feigenbaum constant. We will discuss various connections between transcendence theory and complex dynamics, focusing on recent developments using transcendence theory to describe the intersection of orbits in algebraic varieties, and the realization of transcendental numbers as measures of dynamical complexity for certain families of maps.
Data Science Down-Under
Sunday, 8th Dec 2019 — Thursday, 12th Dec 2019Fort Scratchley Function Centre [Newcastle, NSW]
For more information, please visit the workshop webpage.