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Blocks of finite group algebras I

Presented by: 
Markus Linckelmann
Tuesday 7th January 2020 - 11:30 to 12:30
INI Seminar Room 1
This is the first of two introductory talks on the modular representation theory of finite group algebras. After briefly introducing p-modular systems, we will review basic properties of algebras over complete discrete valuations rings as far as needed to describe some of the classic material on blocks of finite group algebras, much of which is due to Brauer and Green. This includes the notions of defect groups, the Brauer correspondence, relative projectivity, and the Green correspondence. We describe how to associate fusion systems to blocks, based on work of Alperin and Broue.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons