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Ind-coherent sheaves

Dennis Gaitsgory

Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge MA 02138, USA

Abstract: We develop the theory of ind-coherent sheaves on schemes and stacks. The category of ind-coherent sheaves is closely related, but inequivalent, to the category of quasi-coherent sheaves, and the difference becomes crucial for the formulation of the categorical Geometric Langlands Correspondence.

Key words and phrases: Ind-coherent sheaves, DG schemes, correspondences.

MSC: 14F05

Received: August 8, 2011; in revised form September 22, 2012

Language: English

DOI: 10.17323/1609-4514-2013-13-3-399-528

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