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PRODID:-//University of Liverpool Computer Science Seminar System//v2//EN
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DTSTAMP:20260922T101419Z
UID:Seminar-MIF-1407@lxserverM.csc.liv.ac.uk
ORGANIZER:CN=Othon Michail:MAILTO:Othon.Michail@liverpool.ac.uk
DTSTART:20230324T140000
DTEND:20230324T150000
SUMMARY:MIF Series
DESCRIPTION:Matthew Bright: Theory of 2D Lattice Invariants.\n\nThe central problem for our group is the representation of periodic structures as points in some continuous space, in the sense that a small perturbation of the structure itself gives rise to a small change in the position of the point which represents.\nOur solution [1] to this problem for a simple periodic structure - the 2D Lattice - allows for many different kinds of representation, all topologically equivalent to a punctured sphere. The solution gives rise to a very natural quantification of the ‘asymmetry’ of a lattice - that is, the distance through which it would need to be distorted such that it became a lattice with a particular symmetry group. We will briefly recap the development of 2D Lattice Invariants and the associated chiral distances [2].\n[1] V.Kurlin. Mathematics of 2D lattices. Foundations of Computational Mathematics.\n[2] M.Bright et al. Geographic-style maps for 2D lattices. Acta Cryst A v.79 (2023), p.1-13.\n\nhttps://www.csc.liv.ac.uk/research/seminars/abstract.php?id=1407
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