Computing in the Leech lattice

Daniel Allcock

Harvard University

March 1,
4:15pm
refreshments at 3:45pm
2-338

ABSTRACT 

The Leech lattice is a remarkable lattice in 24-dimensional Euclidean space. Its symmetry group (modulo its center Z/2Z) is the sporadic simple group Co_2, with order around 8*10^15. We will explain an algorithm for quickly detecting whether two lattice vectors are equivalent under a symmetry.


Speaker's Contact Info: allcock(at-sign)abel.math.harvard.edu


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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)math.mit.edu

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