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SUMMARY:Fano 3-space and symmetrisation of quad-equations - Atkinson\, J (
 University of Sydney)
DTSTART:20130708T150000Z
DTEND:20130708T153000Z
UID:TALK46131@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Recent results have shown how invariance under interchange of 
 variables and parameters of integrable discrete models can lead to signifi
 cant generalisation of the domain\; giving a more natural lattice geometry
  that respects the symmetry. I will describe a symmetric generalisation of
  the polynomials that define the principal rational\, trigonometric and el
 liptic models from the ABS list\, namely Q2\, Q3 and Q4. They have a prope
 rty\, generalising the consistency on the cube\, which involves the finite
  geometry PG(3\,2). This space was discovered originally during investigat
 ion of the axiomatic framework for projective geometry by Gino Fano in 189
 2\, and is connected with symmetrisation of the quadrangle.\n
LOCATION:Seminar Room 1\, Newton Institute
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