Fri, August 24, 2018
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August 2018
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4:00pm [4:00pm] Dr Richard Clarke, Associate Dean Post Graduate Research, Engineering department from the University of Auckland
Date & Time: Friday, 24th August, 4pm Venue: Ramanujan Hall Speaker: Dr Richard Clarke, Associate Dean Post Graduate Research, Engineering department from the University of Auckland Title: Active Matter: A smart material for the 21st Century Abstract: The theories of fluid dynamics and solid mechanics are a cornerstone of Engineering, enabling us to make predictions about the way in which materials and structures behave. The continuum-level mathematical formulations which were developed over a century ago allow us to overcome the impracticalities of considering every microscopic particle within the system, and instead consider the material’s macroscopic bulk behaviour. The type of substances usually described in this way are passive, meaning that the drivers of the system are usually externally-applied forces or energy. However, there exist more exotic types of active matter, where the constituent components themselves contain a source of energy. Suspensions of swimming microbes provide an important example. The innumerable cells within the mixture are capable of self-propelling themselves through the suspending medium. Modern micro- and nano-fabrication methods also allow for the creation of artificial microswimmers. The flows generated by self-motile cells leads to fluid-mediated coupling between the swimmers, which can lead to highly-organised collective bulk motions, sometimes referred to as bacterial turbulence or slow turbulence. This self-organisation has also be seen to change the bulk rheology of the suspension, leading to plastic and superfluidic behaviours, some of which may have technological applications. Continuum models developed for passive materials do not perform well for active matter, and so there has been a great deal of interest and interdisciplinary activity in recent years to derive an effective continuum-level description for such systems. In this talk I will outline some of the current challenges, as well as ideas and progress made to-date in this area.

[4:00pm] Reebhu Bhattacharya
Geometry and Topology seminar Speaker: Reebhu Bhattacharya Date & Time : 24th August at 4: 00 PM Venue: Room 215 Title: Towards Jones Isomorphism Theorem: Preliminaries(Intersection theory, Morse theory and Hochschild Complex) Abstract: I will be talking about three distinct topics which will serve as preliminaries for the Jones isomorphism theorem which we will discuss in a later talk. Firstly we will talk about some intersection theory and prove the Thom isomorphism theorem. Finally we will define the Hochschild complex for differential graded algebras and it's Hochschild (co) homology.