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Geometric Topology of Liquid Crystal Textures: Chirality and Bend

Presented by: 
Gareth Alexander University of Warwick
Date: 
Monday 13th May 2019 - 15:20 to 16:00
Venue: 
INI Seminar Room 1
Abstract: 
The textures and phases of liquid crystals are replete with geometric motifs, and the geometric approach to elasticity underpins a large portion of nonlinear theories. Despite this, the basic characterisation of topology comes from the homotopy theory without particular attention to geometric features. I will describe our recent work developing geometric approaches to liquid crystal topology, describing cholesteric point defects and topological chirality, and the geometric features of bend distortions, illustrated by applications to the twist-bend nematic phase.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons