The seminar meets ** on Fridays 9am--10:30am SF time (12pm-1:30pm NY time, 7pm-8:30pm Moscow time)** on zoom.

Summer Term | ||||

1 | June 24 | Bogdan Z. | Introduction | |

2 | June 26 | Arpon R. | Basics of ∞-categories | |

3 | July 3 | Sasha P. | Simplicial Commutative Rings I. Main definitions and the Sym functor | |

4 | July 10 | Kirill M. | Simplicial Commutative Rings II. Cotangent Complex and Square Zero Extensions | |

5 | July 17 | Kirill M. | Simplicial Commutative Rings III. Flat, Etale and Smooth Morphisms | |

6 | July 24 | Arpon R. | ∞-topoi | |

7 | July 31 | Sean C. | Derived Schemes | |

8 | Aug. 7 | Lie Q. | Quasi-Coherent and Coherent Sheaves on Derived Schemes | |

9 | Aug. 14 | Bogdan Z. | Derived Formal Schemes. Formal GAGA | |

10 | Aug. 21 | Mitya K. | Derived Artin Stacks | |

11 | Aug. 28 | Bogdan Z. | Derived Artin Representability Theorem |

Here are some references relevant to this seminar:

[Q2] On the (co)homology of commutative rings, Daniel Quillen.

[Q3] Homology of commutative rings, Daniel Quillen.

[GJ] Simplicial Homotopy Theory, Paul Goerss and John Jardine.

[L2] On ∞-topoi, Jacob Lurie.

[A1] Notes On Chapter 1 Of HTT, Akhil's notes.

[DAG V] Derived Algebraic Geometry V: Structured Spaces, Jacob Lurie.

[A2] Simplicial Commutative Rings, Akhil's notes.

[SAG] Spectral Algebraic Geometry (Section 25), Jacob Lurie.

Problem Set 2, from 2010 DAG seminar at Jerusalem

Problem Set 3, from 2010 DAG seminar at Jerusalem

Problem Set 4, from 2010 DAG seminar at Jerusalem