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SUMMARY:On the Hochschild cohomology of finite group algebras - Markus Lin
 ckelmann (City University\, London)
DTSTART:20220526T150000Z
DTEND:20220526T160000Z
UID:TALK174866@talks.cam.ac.uk
DESCRIPTION:Some of the long standing conjectures in modular representatio
 n\ntheory suggest that a very small amount of information on a block\nof a
  finite group algebra\, such as the dimension of its center\, determines\n
 a considerable amount of structural information of that block algebra\, if
 \nnot outright\, then up to finitely many possibilities.\nNoting that the 
 center is the degree zero Hochschild cohomology\, we\ndescribe some of the
  known as well as conjecturally expected connections\nbetween the Hochschi
 ld cohomology of a block and its algebra structure\,\nwith an emphasis on 
 the Lie algebra structure of the first Hochschild\ncohomology space.
LOCATION:Seminar Room 2\, Newton Institute
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