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SUMMARY:Introductory workshop on the representation theory of finite group
 s
DTSTART;VALUE=DATE:20160711
DTSTAMP:20260406T194507Z
UID:5ce264a8a889fce3df3af0817706da0a7362f1f80c025a8292aaf5dd
CATEGORIES:Conferences - Seminars
DESCRIPTION:Organisers\nKESSAR Radha (City University London).\nMALLE Gunt
 er (TU Kaiserslautern).\nTESTERMAN Donna (EPFL).\nThe workshop will consis
 t of three lecture series of 4-5 hours each.Burkhard Külshammer\, Friedri
 ch Schiller Universität JenaBasic local representation theory\nWe will in
 troduce some of the main concepts in local representation theory of finite
  groups: Brauer characters\, decomposition numbers\, Cartan invariants\, l
 ifting of idempotents\, blocks\, defect groups\, heights and defects of ch
 aracters. Trivial source modules and the Brauer homomorphism will be prese
 nted\, and Brauer's three main theorems in block theory will be stated. If
  time permits\, some of the main open problems in block theory will also b
 e addressed\, such as Donovan's Conjecture\, and some of the recent progre
 ss on this conjecture will be mentioned.Markus Linckelmann\, City Universi
 ty LondonBlock theory and fusion systems\nThe course will develop the bloc
 k theoretic background material required to recast the most prominent conj
 ectures in block theory in terms  of statements relating the algebra stru
 cture of a block of a finite group to the fusion system of the block. We w
 ill review the classic theory of Brauer pairs due to Alperin and Broue\, l
 eading to Puig's notion of fusion systems associated with a block. We will
  relate this to another block theoretic key concept\, the notion of a sour
 ce algebra of a block\, and describe in what way source algebras are an in
 dispensable tool in block theory.Meinolf Geck\, Universität StuttgartThe 
 representation theory of finite reductive groups\nThe lectures  will  gi
 ve an introduction to Lusztig's theory\, where methods from algebraic geom
 etry are used to determine the irreducible characters of finite reductive 
 groups. This will include a discussion of characters of groups with a non-
 connected center and\, if time permits\, also disconnected groups.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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