Derived stack explained

In algebraic geometry, a derived stack is, roughly, a stack together with a sheaf of commutative ring spectra. It generalizes a derived scheme. Derived stacks are the "spaces" studied in derived algebraic geometry.^[1]

References

• • • Web site: Lurie . Jacob . Jacob Lurie. Derived Algebraic Geometry . 1721.1/30144 .
• Mathew . Akhil . Meier . Lennart . 1311.0514 . Affineness and chromatic homotopy theory . 2013 . 10.1112/jtopol/jtv005 . 8 . Journal of Topology . 2 . 476–528. 119713516 .

Notes and References

1. Vezzosi. Gabriele. Gabriele Vezzosi. What is ... a Derived Stack?. Notices of the American Mathematical Society. August 2011. 58. 7. 955–958. 4 March 2014.