• Corpus ID: 7119525

Loop Spaces and Langlands Parameters

  title={Loop Spaces and Langlands Parameters},
  author={David Ben-Zvi and David Nadler},
  journal={arXiv: Representation Theory},
We apply the technique of S^1-equivariant localization to sheaves on loop spaces in derived algebraic geometry, and obtain a fundamental link between two families of categories at the heart of geometric representation theory. Namely, we categorify the well known relationship between free loop spaces, cyclic homology and de Rham cohomology to recover the category of D-modules on a smooth stack X as a localization of the category of S^1-equivariant coherent sheaves on its loop space LX. The main… 

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