54 citations · 259 across the 30 of their papers we have counts for
6 papers · 1 filter
On the exotic t-structure in positive characteristic
Carl Mautner, Simon Riche
In this paper we study Bezrukavnikov's exotic t-structure on the derived category of equivariant coherent sheaves on the Springer resolution of a connected reductive algebraic grou…
Kostant section, universal centralizer, and a modular derived Satake equivalence
Simon Riche
We prove analogues of fundamental results of Kostant on the universal centralizer of a connected reductive algebraic group for algebraically closed fields of positive characteristi…
Modular perverse sheaves on flag varieties III: positivity conditions
Pramod N. Achar, Simon Riche
We further develop the general theory of the "mixed modular derived category" introduced by the authors in a previous paper in this series. We then use it to study positivity and Q…
Modular generalized Springer correspondence II: classical groups
Pramod N. Achar, Anthony Henderson, Daniel Juteau +1
We construct a modular generalized Springer correspondence for any classical group, by generalizing to the modular setting various results of Lusztig in the case of characteristic-…
Modular perverse sheaves on flag varieties I: tilting and parity sheaves
Pramod N. Achar, Simon Riche
In this paper we prove that the category of parity complexes on the flag variety of a complex connected reductive group is a "graded version" of the category of tilting perverse sh…
Linear Koszul duality and Fourier transform for convolution algebras
Ivan Mirkovic, Simon Riche
In this paper we prove that the linear Koszul duality isomorphism for convolution algebras in K-homology defined in a previous paper and the Fourier transform isomorphism for convo…