Stratifications and duality in modular representation theory
The goal of this Masterclass is to study the local and global structure of the stable module category of finite group (schemes), a category which plays a fundamental role in modular representation theory.
In particular, it will focus on recent groundbreaking results of Benson, Iyengar, Krause, and Pevtsova, establishing a decomposition or stratification of the stable module category in terms of group cohomology as well as a new conceptual perspective on local duality in these categories.
The techniques introduced in their work are relevant far beyond modular representation theory and should lead to further insights in commutative algebra, algebraic geometry, and algebraic topology.
Registration online before 31 January 2017.