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We develop the notion of crystal in the context of derived algebraic geometry, and to connect crystals to more classical objects such as D-modules.
A. Beilinson and J. Bernstein, A proof of Jantzen conjectures
1993
Earlier work this paper cites.
C. Simpson, Homotopy over the complex numbers and generalized cohomology theory
1996
Cited alongside, same era.
Notes on Geometric Langlands, Generalities on DG categories
Cited in the paper.
Notes on Geometric Langlands, Stacks
Cited in the paper.
Notes on Geometric Langlands, Quasi-coherent sheaves on stacks
Cited in the paper.
D. Gaitsgory, Ind-coherent sheaves
Cited in the paper.
D. Gaitsgory and N. Rozenblyum, DG indschemes
Cited in the paper.
D. Gaitsgory and N. Rozenblyum, A study in derived algebraic geometry
Cited in the paper.
A. Grothendieck, Crystals and the de Rham cohomology of schemes
Cited in the paper.
J. Lurie, DAG-VIII
Cited in the paper.
J. Lurie, Higher algebra
Cited in the paper.
J. Lurie, Higher Topos Theory
2009
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