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Colloquium: Rodney Forcade(BYU)

Tuesday, October 03
4:00 PM
203 TMCB

Title: Lattices for Fun and Profit

Abstract: A point-lattice is a discrete $\Z$-module in Euclidean space, for example, the lattice of atoms in an alloy or crystal structure.

Various algorithms exist for operating on lattices (LLL to reduce basis, PSLQ to find relations, etc.). Gus Hart and I developed a suite of algorithms for efficiently enumerating the symmetrically distinct periodic decorations of a 3-dimensional point-lattice (or multi-lattice).

If time permits, I may also describe a couple of lattice problems, which will haunt me to the end of my days.