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.