The surface of cuboids and Siegel modular threefolds
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If you have a question about this talk, please contact Tom Fisher.
A perfect cuboid is a parallelepiped with rectangular faces all of
whose edges, face diagonals and long diagonal have integer length. A
question going back to Euler asks for the existence of a perfect
cuboid. No perfect cuboid has been found, nor it is known that they
do not exist. In this talk I will show that the space of cuboids is a
divisor in a Siegel modular threefold, thus allowing to translate the
existence of a perfect cuboid to the existence of special torsion
structures in abelian surfaces defined over number fields.
This talk is part of the Number Theory Seminar series.
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Tuesday 10 May 2011, 14:30-15:30