Silting complexes of coherent sheaves and the Humphreys conjecture

Linear algebraic groups over arbitrary fields (20G15) Cohomology theory for linear algebraic groups (20G10) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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Auslander-Buchweitz context and co-$t$-structures
Cohomology of induced representations for algebraic groups
Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group
Cells in affine Weyl groups and tensor categories
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Reductive groups, the loop Grassmannian, and the Springer resolution
Representation theory of disconnected reductive groups
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Central subalgebras of the centralizer of a nilpotent element
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Parity sheaves
Completely reducible $\operatorname{SL}(2)$-homomorphisms
Cohomology of Lie Algebras and Algebraic Groups
On the equivariant 𝐾-theory of the nilpotent cone
Tilting modules and the p-canonical basis
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Co-t-structures: The first decade
Perverse coherent sheaves on the nilpotent cone in good characteristic
Koszul Resolutions
Integral exotic sheaves and the modular Lusztig–Vogan bijection
Co-𝑡-structures on derived categories of coherent sheaves and the cohomology of tilting modules
Nilpotent centralizers and good filtrations

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