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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Jordan decomposition for the Alperin-McKay conject
ure - Lucas Ruhstorfer (Technische Universität Kai
serslautern)
DTSTART;TZID=Europe/London:20200218T110000
DTEND;TZID=Europe/London:20200218T120000
UID:TALK139957AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/139957
DESCRIPTION:In recent years\, many of the famous global-
local conjectures in the representation theory of
finite groups have been reduced to the verificatio
n of certain stronger conditions on the characters
of finite quasi-simple groups. It became apparent
that checking these conditions requires a deep un
derstanding of the action of group automorphisms o
n the characters of a finite simple group of Lie t
ype.
On the other hand\, the Morita equiv
alence by Bonnafé\;-Dat-Rouquier has become
an indispensable tool to study the representation
theory of groups of Lie type. In this talk\, we wi
ll discuss the interplay of this Morita equivalenc
e with group automorphisms. We will then show how
this can be applied in the context of the Alperin-
McKay conjecture.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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