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SUMMARY:Topological data analysis for materials science
DTSTART:20160321T141500
DTEND:20160321T153000
DTSTAMP:20260501T144352Z
UID:f02bc9220e1491f8e3c561cf192d32cb70cde26de3b97a5728619181
CATEGORIES:Conferences - Seminars
DESCRIPTION:Vanessa Robins\, Australian National University\nBio: BSc (Hon
 s I and University Medal) in Mathematics\, ANU (1994)\nMSc\, PhD in Applie
 d Mathematics\, University of Colorado\, Boulder (2000)\nResearch interest
 s\nMy main research interest is in computational topology and geometry. I 
 work on the underlying mathematics\, algorithms\, and applications to scie
 ntific problems. See my webpage for more details.\nTake a look at EPINET: 
 a web database of periodic network structures.\nGrants and awards\nARC Fut
 ure Fellow 2014-2019  Topological data analysis for enhanced modelling of
  the physical properties of complex micro-structured materials.\nTopologic
 al data analysis provides mathematically rigorous computational tools for 
 quantifying connectivity in geometric data sets.  The primary mathematica
 l theory is called persistent homology\, it measures topological quantitie
 s such as components\, loops and higher-dimensional cycles as a function o
 f a geometric parameter.  A central lesson from TDA is that topological s
 tructure in data can only be robustly quantified by studying how it varies
  over a sequence of length-scales. \nRecent applications of persistent ho
 mology in materials science include:\n• the characterisation of local co
 nfigurations of spheres in bead packings\, and atomic arrangements in flui
 ds\, where it enables a clearer picture of phase transitions\; \n• anal
 ysis of Rayleigh-Benard convection patterns to detect and quantify departu
 res from the Boussinesq approximation\;\n• generating topologically cons
 istent grain partitions and pore networks from x-ray CT images of porous a
 nd granular materials to enable better modelling of fluid transport. \nFu
 rther applications in engineering include coverage in sensor networks\, ro
 bot motion planning\, and image processing. \nThis talk will focus on the
  interpretation of persistence diagrams in the context of porous and granu
 lar materials in order to demonstrate exactly what sort of information can
  be obtained from TDA and how it can lead to new physical insights.
LOCATION:CM 113
STATUS:CONFIRMED
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