Séminaires des équipes de recherche

Lattice Green's Functions of the Higher-Dimensional Face-Centered Cubic Lattices.

A 14h00, entrée libre

  • Date : 7/11/2011
  • Lieu : Inria-Rocquencourt, salle de conférence du bâtiment 9
  • Intervenants : Christoph Koutschan, MSR-INRIA Joint Centre, Orsay, France
  • Organisateurs : équipe-projet Algorithms

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.

Mots-clés : Paris - Rocquencourt ALGORITHMS Séminaire

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