Prof. Dr. Gunter Malle, TU Kaiserslautern, Vortrag: Local-global conjectures in the representation theory of finite groups
Thursday, 04.12.2014 16:30 im Raum M 5
More than 60 years ago Richard Brauer developed the theory of
representations of finite groups over arbitrary fields. It showed a
strong connection between the representation theory of a finite group
and that of its p-local subgroups, for p a prime. Many more such connections
have been observed in the meantime, but most of these are still conjectural.
Recently, a new reduction approach has offered the hope to solve all of
these fundamental conjectures by using the classification of finite simple
groups. In our talk we will try and explain the nature of these problems
and will report on recent progress which might eventually lead to a
solution of these long standing fundamental questions.