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SUMMARY:The intimate relation between mechanics and geometry - Prof. Mark 
 Warner\, University of Cambridge
DTSTART:20161124T141500Z
DTEND:20161124T151500Z
UID:TALK66818@talks.cam.ac.uk
CONTACT:Gareth Conduit
DESCRIPTION:Geometry is about lengths and angles\, and how\, when spatiall
 y varying\, these connections give twist\, curvature\, ... to a space. Bod
 ies that energetically resist changes in lengths and angles\, that is soli
 ds\, have an associated mechanics that must clearly be related somehow to 
 the foundations of geometry.\n\nStudying the relation is easy and I now wi
 sh I had started mechanics with this connection made from the outset. I al
 so wish I had studied at an earlier age the machinery for describing the r
 elevant geometry\, that is differential geometry.\n\nI will outline the co
 nnection between mechanics and geometry\, with physical and mathematical e
 xamples\, and show how it then leads to new frontiers in more sophisticate
 d solids: For instance they can reversibly develop intrinsic curvature in 
 response to light. I will have to use simple geometric ideas since I have 
 come to the field so late!\n\nThese solids can apparently solve the map-ma
 ker’s problem of resolving planes with curved space. I will say how this
  unique property might be exploited.\n\n!http://www.tcm.phy.cam.ac.uk/talk
 s/mwtalkimage24_11_2016.png!
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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