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CATEGORIES:Algebra and Representation Theory Seminar
SUMMARY: Action of automorphisms on irreducible characters
of symplectic groups - Jay Taylor (Arizona)
DTSTART;TZID=Europe/London:20170614T163000
DTEND;TZID=Europe/London:20170614T173000
UID:TALK72977AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/72977
DESCRIPTION: In recent years a new approach has been developed
to several long\nstanding conjectures in the repr
esentation theory of finite groups\; such as\nthe
McKay conjecture. These conjectures are stated for
all finite groups but\nthe recent approach has re
duced these conjectures to checking certain\ncondi
tions on quasisimple finite groups (often referred
to as inductive\nconditions). This\, in theory\,
makes the conjecture more manageable thanks to\nth
e classification of finite simple groups. However\
, the downside to this is\nthat one requires infor
mation about how automorphisms act on the irreduci
ble\ncharacters of quasisimple finite groups. In t
his talk we present new results\nin this direction
concerning the finite symplectic groups Sp(2n\,q)
where q\nis an odd prime power. Specifically we c
ompletely describe the action of the\nautomorphism
group on the ordinary irreducible characters of t
hese groups.
LOCATION:MR12
CONTACT:Christopher Brookes
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