Algebra Seminar: Cooney -- The (parabolic) exotic t-structure

Nicholas Cooney (University of Clermont Auvergne) 

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

Title: The (parabolic) exotic t-structure 

Abstract: 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.