2 citations · 4 across the 3 of their papers we have counts for
4 papers
Constructible sheaves on affine Grassmannians and geometry of the dual nilpotent cone
Pramod N. Achar, Simon Riche
In this paper we study the derived category of sheaves on the affine Grassmannian of a complex reductive group G, contructible with respect to the stratification by G(C[[x]])-orbit…
Koszul duality and semisimplicity of Frobenius
Pramod N. Achar, Simon Riche
A fundamental result of Beilinson-Ginzburg-Soergel states that on flag varieties and related spaces, a certain modified version of the category of l-adic perverse sheaves exhibits…
Affine braid group actions on derived categories of Springer resolutions
Roman Bezrukavnikov, Simon Riche
In this paper we construct and study an action of the affine braid group associated to a semi-simple algebraic group on derived categories of coherent sheaves on various varieties…
Koszul duality and Frobenius structure for restricted enveloping algebras
Simon Riche
Let g be the Lie algebra of a connected, simply connected semisimple algebraic group over an algebraically closed field of sufficiently large positive characteristic. We study the…