Subject | Date | Modified | |

Syllabus | Sept. 8 2016 | ||

Lecture 1 | Sheaves | Sept 8 2016 | Jan 6 2017 |

Lecture 2 |
Cohomology | Sept 13 2016 | Jan 6 2017 |

Lecture 3 |
Complexes of sheaves | Sept 15 2016 | Jan 6 2017 |

Lecture 4 |
Godement and Cech | Sept 19 2016 | Jan 6 2017 |

Lecture 5 |
Homotopy of injectives | Sept 22 | Jan 6 2017 |

Lecture 6 |
Derived category | Sept. 27 | Jan 6 2017 |

Lecture 7 |
Stratifications | Sept. 29 | Oct. 6 |

No class |
no class | Oct. 4 | |

Lecture 8 |
Constructible sheaves | Oct. 6 | Oct. 11 |

Lecture 9 |
Intersection homology | Oct. 11 | Oct 11 |

Lecture 10 |
Truncation | Oct. 13 | Oct. 15 |

Lecture 11 |
Verdier duality, Perverse sheaves | Oct. 18 | Oct. 18 |

Lecture 12 |
Examples of perverse sheaves | Oct. 20 | Oct.21 |

Lecture 13 |
t-structures | Oct. 25 | Oct. 25 |

Lecture 14 |
Decomposition theorem | Nov. 1 | Nov. 1 |

Lecture 15 |
Toric Varieties | Nov. 3 | Nov. 6 |

Lecture 16 |
Springer theory | Nov 8 | Nov. 8 |

Lecture 17 |
Hecke Algebra | Nov 15 | Nov 15 |

Lecture 18 |
Affine Hecke algebra | Nov 17 | Nov 22 |

Lecture 19 |
Perverse sheaves on affine Grassmannian | Nov 22 | Dec 6 |

Lecture 20 |
Hilbert Scheme | -- | -- |

Lecture 21 |
Cellular perverse sheaves | -- | -- |