比利时vs摩洛哥足彩
,
university of california san diego
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final defense
john d. foley
comparing kac-moody groups over the complex numbers and fields of positive characteristic via homotopy theory
abstract:
kac-moody groups generalize lie groups but are typically infinite dimensional. this defense will quickly introduce discrete and topological kac-moody groups and outline a direct comparison between complex topological kac-moody groups and discrete kac-moody groups over the algebraic closure of the field with p elements. this result uses newly constructed homotopy decompositions for the "unipotent" factors of parabolic subgroups of a discrete kac-moody group in terms of unipotent algebraic groups. additional applications will be given and the topics of infinite coxeter groups, bn-pairs, and root group data systems will be visited.
june 4, 2012
11:00 am
ap&m 6402
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