Lattice Green's Functions of the Higher-Dimensional Face-Centered Cubic Lattices
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
Conference on Applied Algebraic Geometry (Minisymposium "Symbolic Combinatorics")
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
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 six-dimensional fcc lattice, a result that was not believed to be achievable with current computer hardware. We also present some conjectures concerning the nature of the lattice Green's function in arbitrary dimensions.
Sprache der Kurzfassung:
Englisch
Vortragstyp:
Vortrag auf einer Tagung (nicht referiert)
Vortragsdatum:
06.10.2011
Vortragsort:
Vereinigte Staaten
Details zum Vortragsort:
North Carolina State University, Raleigh, North Carolina
Forschungs-