Robert Griess

Affiliation: Univeristy of Michigan


Title Of Talk: New lattices with moderately high minimum norms

Abstract: Lately, we have been studying lattice constructions with finite group techniques.

We exhibit families of even unimodular lattices with moderately high minimum norms, namely 6 in rank 72 and 8 in ranks 96, 120 and 128. The extremal upper bounds for these respective dimensions are 8, 10, 12, 12. (The rank 72 examples could possibly have minimum norm 8, but we claim only at least 6). Variations on older techniques are shown to give our high minimum norms if we input lattices with nice isometry groups.

Other lattice constructions using groups may be sketched, if time permits.

Last update made Sat Feb 13 20:12:49 EST 2010.
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