Lectures on Log Geometry

Week of | Monday | Wednesday | Friday | |

8/22 | Introduction | Introduction | ||

8/29 | *Limits of Monoids | Ideals and geometry | Finiteness*, | Monoids and monoid actions |

9/5 | Holiday | Exactness | Duality | Exactness, Duality |

9/12 | Cones* | Duality for cones | Valuative monoids | Cones. Valuations |

9/19 | Monoid schemes* | Toric log structures | Local and logarithmic homomorphisms | Toric Varieties. |

9/26 | Exact, Kummer etc. | Flat actions | Regular actions | Homomorphisms and actions |

10/3 | Integrality | Integrality and local exactness | Topology of cones | Integral homomorphisms |

10/10 | Sheaves of monoids | Monoschemes Charts |
Log points and dashes |
Monoidal spaces. Charts |

10/17 | Compactifying log structures | DF-structures |
D-stability | Examples of Log schemes |

10/24 | Etale vs Zariski toplogies. | The space X_log | The exponential sequence | Betti realizations |

10/31 | The moment map | X_log as a manifold with boundary | ||

11/7 | Derivations and differentials | Holiday | Calculus, Deformations | |

11/14 | Smoothness | |||

11/21 | Holiday | de Rham cohomology | ||

11/28 | Riemann Hilbert | |||

12/5 | Reading Week | Instruction ends |

* means that the file has been updated.

Here is a section on equivariant sheaves on monoid schemes that I didn't have time to lecture on. Comments are most welcome, especially on the last part, which I didnt' revise adequately either.

File translated from T

On 21 Jan 2003, 16:46.