University of Sydney Algebra Seminar

Nicholas Cooney (University of Clermont Auvergne)

Friday 29 June, 12-1pm, Place: Carslaw 375

The (parabolic) exotic t-structure

The exotic t-structure - a remarkable t-structure on the derived category of coherent sheaves on the cotangent bundle of the flag variety - arises in many areas of representation theory, including geometric Langlands, tilting modules for quantum groups and algebraic groups, and representations of Lie algebras in positive characteristic. After discussing some of the relevant background and context, I will describe instances of this t-structure that play an important role in the modular representation theory of algebraic groups. Time permitting, I will discuss a version of this in the parabolic setting, which is joint work with Pramod Achar and Simon Riche.