[Topology and Geometry Seminar] “The number of surfaces of fixed genus in a link complement” by Prof Anastasiia Tsvietkova.

The weekly Topology and Geometry Seminar, with Prof. Anastasiia Tsvietkova.

[Public Lecture] "Comparing shapes of genus zero" by Prof Joel Hass (UC Davis)

Prof Joel Hass (University of California, Davis) is presenting a public lecture on "Comparing shapes of genus zero". This talk is aimed at a general scientific audience. All are welcome to attend.

Abstract: Almost everything we encounter in our 3-dimensional world is a surface - the outside of a solid object. Moreover there is an explosive increase in the availability of digitized representations of surfaces in 3D. Comparing the shapes of surfaces is, not surprisingly, a fundamental problem in both theoretical and applied mathematics. Facial recognition, drug design and much of radiology, for example, are concerned with comparing and aligning surfaces. Deep mathematical results are now being used to study objects such as bones, brain cortices, proteins and biomolecules by studying their surface geometry. This talk will discuss recent joint work with Patrice Koehl that introduces a new way to align and compare surfaces, and how well it performs relative to other methods and to human experts.

[Topology and Geometry Seminar] “Cusps and alternating knots" by Prof Jessica Purcell (Monash University)

The seminar aims to introduce research topics in topology, geometry and its interactions with other sciences. Anyone interested in mathematics is welcome to attend.

Alternating knots are some of the simplest knots to describe, and they occur frequently in low crossing knot tables. Most alternating knots have a complement that admits a hyperbolic metric: a metric with constant curvature -1. However, it is difficult to relate the hyperbolic geometry of these knots to their diagrams, and there are several open conjectures on possible relationships. In this talk, Jessica Purcell (Professor at Monash University, Melbourne) will address one such conjecture, concerning cusp volume.

[Topology and Geometry Seminar] “Cusp shape and tunnel number (part 2)" by Prof Jessica Purcell (Monash University)

The seminar aims to introduce research topics in topology, geometry and its interactions with other sciences. Anyone interested in mathematics is welcome to attend.

Associated to a cusped hyperbolic 3-manifold is a cusp shape, which is a point in the Teichmuller space of the torus. It is natural to ask which points in Teichmuller space arise. This is the second talk on this topic by Jessica Purcell (Professor at Monash University, Melbourne).

[Topology and Geometry Seminar] “Cusp shape and tunnel number (part 1)" by Prof Jessica Purcell (Monash University)

The seminar aims to introduce research topics in topology, geometry and its interactions with other sciences. Anyone interested in mathematics is welcome to attend.

Associated to a cusped hyperbolic 3-manifold is a cusp shape, which is a point in the Teichmuller space of the torus. It is natural to ask which points in Teichmuller space arise. Jessica Purcell (Professor at Monash University, Melbourne) will introduce cusp shapes and tunnel number, and give background behind the questions asked and several examples.

[Topology and Geometry Seminar] “ A suspension flow with a Plykin attractor” by Dr Linling Ru, and "On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points" by Motoko Kato (Tokyo University).

The seminar aims to introduce research topics in topology, geometry and its interactions with other sciences. Anyone interested in mathematics is welcome to attend.

This week, we have two 30-mins talks. Dr Linling Ru (Tsvietkova Unit) will speak on "A suspension flow with a Plykin attractor", and Motoko Kato (Tokyo University) will talk about "On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points".

"Möbius Kaleidocycles --- A New Family of Ring Mechanisms" by Dr. Johannes Schönke

The weekly Topology and Geometry Seminar, with Dr. Johannes Schönke (Mathematics, Mechanics, and Materials Unit)

"3-manifolds in trisections" by Dr. Dale Koenig

"Geometric algebras: from the wedge product to higher-spin holography" By Dr. Yasha Neiman

The weekly Topology and Geometry Seminar, with Dr. Yasha Neiman.

[Topology and Geometry Seminar] “Introduction to Seiberg-Witten invariant” by Dr Tirasan Khandhawit

The seminar aims to introduce research topics in topology, geometry and its interactions with other sciences. Anyone interested in mathematics is welcome to attend.