Crystals and D-modules
By D. Gaitsgory, N. Rozenblyum. 2011
89 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/78be46a011e550847c3cad2336fb7f7534a8f930
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In Algebra and Number Theory
- D. Gaitsgory
- V. Drinfeld
- Christopher Brav
- Vittoria Bussi
- O. Ben-Bassat
- D. Joyce
- E. Frenkel
- D. Nadler
In Geometry and Topology
- D. Gaitsgory
- V. Drinfeld
- Christopher Brav
- Vittoria Bussi
- O. Ben-Bassat
- D. Joyce
- E. Frenkel
- D. Nadler
In Mathematical Physics
- D. Gaitsgory
- V. Drinfeld
- Christopher Brav
- Vittoria Bussi
- O. Ben-Bassat
- D. Joyce
- E. Frenkel
- D. Nadler
Citations in the corpus
- A ‘Darboux theorem’ for shifted symplectic structures on derived Artin stacks, with applications (2013, background): “• Gaitsgory and Rozenblyum [10] construct a theory of crystals on (derived) schemes and stacks X.”
- Compact generation of the category of D-modules on the stack of G-bundles on a curve (2011, methodology): “d with a smooth map to Y, the scheme Zis of finite type. The equivalence of these conditions is established, e.g., in [GL:Stacks, Proposition 4.9.2]. 0.6.4. D-modules. We refer the reader to the paper [GR] for the theory of D-modules (a.k.a. crystals) on prestacks locally of finite type. For a morphis”
- Outline of the proof of the geometric Langlands conjecture for $GL_2$ (2013, methodology): “We refer the reader to [GR], where this point of view on the theory of D-modules is developed.”