Brave new algebraic geometry and global derived moduli spaces of ring spectra.

@inproceedings{Toen2003BraveNA,
  title={Brave new algebraic geometry and global derived moduli spaces of ring spectra.},
  author={Bertrand Toen and Gabriele Vezzosi},
  year={2003}
}
  • Bertrand Toen, Gabriele Vezzosi
  • Published 2003
  • Mathematics
  • We develop homotopical algebraic geometry ([To-Ve 1, To-Ve 2]) in the special context where the base symmetric monoidal model category is that of spectra S, i.e. what might be called, after Waldhausen, brave new algebraic geometry. We discuss various model topologies on the model category of commutative algebras in S, and their associated theories of geometric S-stacks (a geometric S-stack being an analog of Artin notion of algebraic stack in Algebraic Geometry). Two examples of geometric S… CONTINUE READING

    References

    Publications referenced by this paper.