Séminaires : Séminaire d'Algèbre

Algebras and their representations can often be constructed geometrically in terms of convolution of cycles. For example, the Springer correspondence describes how irreducible representations of a Weyl group can be realised in terms of a convolution action on the vector spaces of irreducible components of Springer fibers. Similar situations yield the affine Hecke algebra, quiver Hecke algebra (KLR algebra), quiver Schur algebra or Soergel bimodules. In this spirit, we show that these algebras and their representations can be realised in terms of certain equivariant motivic sheaves called Springer motives. On our way, we will discuss weight structures and their applications to motives. This is joint work with Catharina Stroppel.