Finite-dimensional differential graded algebras and their geometric realizations

@article{Orlov2020FinitedimensionalDG,
  title={Finite-dimensional differential graded algebras and their geometric realizations},
  author={D. Orlov},
  journal={Advances in Mathematics},
  year={2020},
  volume={366},
  pages={107096}
}
  • D. Orlov
  • Published 2020
  • Mathematics
  • Advances in Mathematics
Abstract We prove that for any finite-dimensional differential graded algebra with separable semisimple part the category of perfect modules is equivalent to a full subcategory of the category of perfect complexes on a smooth projective scheme with a full separable semi-exceptional collection. Moreover, we also show that it gives a characterization of such categories assuming that a subcategory is idempotent complete and has a classical generator. 
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Noncommutative Weil conjecture
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