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SUMMARY:The surface of cuboids and Siegel modular threefolds - Damiano Tes
 ta (Oxford)
DTSTART:20110510T133000Z
DTEND:20110510T143000Z
UID:TALK30321@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:A perfect cuboid is a parallelepiped with rectangular faces al
 l of\nwhose edges\, face diagonals and long diagonal have integer length. 
  A\nquestion going back to Euler asks for the existence of a perfect\ncubo
 id.  No perfect cuboid has been found\, nor it is known that they\ndo not 
 exist.  In this talk I will show that the space of cuboids is a\ndivisor i
 n a Siegel modular threefold\, thus allowing to translate the\nexistence o
 f a perfect cuboid to the existence of special torsion\nstructures in abel
 ian surfaces defined over number fields.\n
LOCATION:MR13
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