One Citation
De Rham - Witt KZ equations
- Mathematics
- 2022
In §1 we recall some background material about the de Rham Witt complex. In §2 we present a de Rham Witt version of the first part of [SV1] concerning arbitrary hyperplane arrangements over Fp. In…
References
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Constructible sheaves on schemes and a categorical K\"unneth formula
- Mathematics
- 2020
We present a uniform theory of constructible sheaves on arbitrary schemes with coefficients in condensed rings. We use it to prove a Künneth-type equivalence of derived categories of lisse and…
Generalized cohomology theories for algebraic stacks
- Mathematics
- 2021
We extend the stable motivic homotopy category of Voevodsky to the class of scalloped algebraic stacks, and show that it admits the formalism of Grothendieck’s six operations. Objects in this…
Modular perverse sheaves on flag varieties, II: Koszul duality and formality
- Mathematics
- 2016
Building on the theory of parity sheaves due to Juteau-Mautner-Williamson, we develop a formalism of "mixed modular perverse sheaves" for varieties equipped with a stratification by affine spaces. We…
Algebraic representations and constructible sheaves
- Mathematics
- 2016
I survey what is known about simple modules for reductive algebraic groups. The emphasis is on characteristic p > 0 and Lusztig’s character formula. I explain ideas connecting representations and…
Reductive groups, the loop Grassmannian, and the Springer resolution
- Mathematics
- 2016
In this paper we prove equivalences of categories relating the derived category of a block of the category of representations of a connected reductive algebraic group over an algebraically closed…
Reductive groups, the loop Grassmannian, and the Springer resolution
- MathematicsInventiones mathematicae
- 2018
In this paper we prove equivalences of categories relating the derived category of a block of the category of representations of a connected reductive algebraic group over an algebraically closed…
Motivic homotopy theory in derived algebraic geometry
- Mathematics
- 2016
In topology, generalized cohomology theories are representable in the stable homotopy category. The analogue in algebraic geometry is the stable motivic homotopy category, constructed by…
Koszul duality and semisimplicity of Frobenius
- Mathematics
- 2011
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 a phenomenon known…