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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Fusion systems with Benson-Solomon components - Ju
stin Lynd (University of Louisiana at Lafayette)
DTSTART;TZID=Europe/London:20200305T160000
DTEND;TZID=Europe/London:20200305T170000
UID:TALK140185AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/140185
DESCRIPTION:In the 1960s and 70s\, involution centralizer prob
lems gave rise to several new sporadic simple grou
ps. \; With the benefit of about 30 years of h
indsight\, one such problem considered by Solomon
also gave rise to an infinite family of exotic 2-f
usion systems\, namely the Benson-Solomon systems.
The Benson-Solomon fusion systems are closely rel
ated to 7-dimensional orthogonal groups over field
s of odd order\, and they currently comprise the k
nown simple exotic systems at the prime 2. In this
talk\, I'\;ll discuss the solution to the invo
lution centralizer problem for the Benson-Solomon
systems in the context of Aschbacher'\;s progra
m for the classification of simple 2-fusion system
s of odd type. \; The Benson-Solomon problem i
s intertwined with the solution to Walter'\;s T
heorem for fusion systems\, one of the four main s
teps of the program. \; This is joint work wit
h E. Henke.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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