Séminaire du 7 novembre 2011, 14h00: Christoph Koutschan,
MSR-INRIA Joint Centre, Orsay, France.
Lattice Green's Functions of the Higher-Dimensional Face-Centered Cubic Lattices.
We study the lattice Green's functions of the face-centered cubic
lattice (fcc) in up to six dimensions. We give computer algebra proofs
of results that were conjectured by Guttmann and Broadhurst for the
four- and five-dimensional fcc lattices. Additionally we derive a
differential equation for the lattice Green's function of the
six-dimensional fcc lattice, a result that was not believed to be
achievable with current computer hardware.
Last modified: Tue Nov 22 15:20:22 CET 2011