Singular support of coherent sheaves, and the geometric Langlands conjecture

Abstract

We develop the notion of singular support of a coherent sheaf on a quasi-smooth DG scheme or stack and use it to formulate the Geometric Langlands Conjecture.

References in corpus (3)

• Triangulated categories of singularities and D-branes in Landau-Ginzburg models
• Linear Koszul Duality
• On some finiteness questions for algebraic stacks

Cited by in corpus (7)

• Sheaves of categories and the notion of 1-affineness
• Symmetries of categorical representations and the quantum Ngô action
• On some finiteness questions for algebraic stacks
• Beilinson-Bernstein localization over the Harish-Chandra center
• Morita equivalence for convolution categories: Appendix to arXiv:0805.0157
• The category of singularities as a crystal and global Springer fibers
• Coherent sheaves on formal complete intersections via DG Lie algebras