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On Some Mathematics in Garrett Lisi's
'E_{8} Theory of Everything'
February 12, 2008
Abstract: A physicist, Garrett Lisi, has published a highly
controversial, but fascinating, paper purporting to go beyond the
Standard Model in that it unifies all 4 forces of nature by
using as gauge group the exceptional Lie group E_{8}.
My talk, strictly mathematical, will be about an elaboration of
the mathematics of E_{8} which Lisi relies on to construct
his theory.
This talk was given as a colloquium at U.C. Riverside.
Earlier on the same day John Baez gave an elementary introduction
to E_{8}. You can also can see this talk as
streaming
video or
downloadable
video.
Robert L. Griess, Jr. and A. J. E. Ryba, Embeddings of PGL(2,31)
and SL(2,32) in E_{8}(C), with appendices by Michael Larsen
and Jean Pierre Serre, Duke Math. J.94 (1998), 181-211.
Jean-Pierre Serre, Sous-groupes finis des groupes de Lie,
Séminaire Bourbaki vol. 1998/99, Astérisque266 (2000), 415-230.