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SUMMARY:Jordan decomposition for the Alperin-McKay conjecture - Lucas Ruhs
 torfer (Technische Universität Kaiserslautern)
DTSTART:20200218T110000Z
DTEND:20200218T120000Z
UID:TALK139957@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>In recent years\, many of the famous global-local conjec
 tures in the representation theory of finite groups have been reduced to t
 he verification of certain stronger conditions on the characters of finite
  quasi-simple groups. It became apparent that checking these conditions re
 quires a deep understanding of the action of group automorphisms on the ch
 aracters of a finite simple group of Lie type.<br> <br> On the other hand\
 , the Morita equivalence by Bonnaf&eacute\;-Dat-Rouquier has become an ind
 ispensable tool to study the representation theory of groups of Lie type. 
 In this talk\, we will discuss the interplay of this Morita equivalence wi
 th group automorphisms. We will then show how this can be applied in the c
 ontext of the Alperin-McKay conjecture.</span><br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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