72 citations · 230 across the 54 of their papers we have counts for
4 papers · 1 filter
Notes on exotic and perverse-coherent sheaves
Pramod N. Achar
Exotic sheaves are certain complexes of coherent sheaves on the cotangent bundle of the flag variety of a reductive group. They are closely related to perverse-coherent sheaves on…
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…