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SUMMARY:Maria Chlouveraki (National and Kapodistrian University of Athens)
DTSTART:20221017T130000Z
DTEND:20221017T140000Z
DTSTAMP:20260423T021333Z
UID:GANT/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GANT/14/">Th
 e defect of blocks in Hecke algebras</a>\nby Maria Chlouveraki (National a
 nd Kapodistrian University of Athens) as part of Greek Algebra & Number Th
 eory Seminar\n\n\nAbstract\nWhen an algebra is not semisimple\, a good way
  to understand its representation theory is through the study of its block
 s. To each simple module in a block we can attach a numerical datum\, whic
 h measures the complexity of the block: the defect. This is true for the s
 ymmetric group algebra\, as well as its generalisations\, the Iwahori-Heck
 e algebra of type A and the Ariki-Koike algebra.  In a joint work with Nic
 olas Jacon we have proved\, using algebraic combinatorics\, that the defec
 t is a block invariant for Ariki-Koike algebras\, thus proving a conjectur
 e formulated by Geck 30 years ago. In this talk we will present our proof\
 , as well as our data indicating that this fact is true for all Hecke alge
 bras associated with complex reflection groups.\n
LOCATION:https://researchseminars.org/talk/GANT/14/
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