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SUMMARY:RoCK blocks for double covers of symmetric groups - Michael Livese
 y (University of Manchester)
DTSTART:20220509T133000Z
DTEND:20220509T142000Z
UID:TALK172772@talks.cam.ac.uk
DESCRIPTION:Brou&eacute\;'s conjecture posits that a block with abelian de
 fect group is derived equivalent to its Brauer correspondent. A RoCK block
  is even Morita equivalent to its Brauer correspondent. The existence of R
 oCK blocks is\, therefore\, fundamental to the study of Brou&eacute\;'s co
 njecture for many classes of blocks of finite groups. In this talk we inve
 stigate RoCK blocks for double covers of symmetric groups. The proof that 
 we do indeed have a Morita equivalence very much mirrors that of the corre
 sponding result for the symmetric group\, originally proved by Chuang-Kess
 ar. However\, there are many interesting differences that greatly complica
 te the situation and require several different techniques to overcome.
LOCATION:Seminar Room 1\, Newton Institute
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