### Introduction to Homological Algebra

#### Topics

Rings and modules. The Hom functor. |
10 July Speaker: Bo |

Tensor product, adjoint isomorphism and change of rings. |
17 July Speaker: Lukas |

Exact sequences. |
24 July Speaker: Shintaro |

Projective and injective modules. |
31 JulySpeaker: Mostafa |

Complexes. |
7 Aug Speaker: Louis |

Homotopy of chain complexes. Resolutions. |
14 Aug Speaker: Peter |

Double complexes. |
21 Aug Speaker: Bo |

Ext and Tor. |
28 Aug Speaker: Bo |

The Kunneth formula. The universal coefficient theorem. |
4 Sept Speaker: Lukas |

Categories and functors. |
11 Sept Speaker: Shintaro |

Abelian categories. |
18 Sept Speaker: Louis |

Derived categories. |
25 Sept Speaker: Bartek |

Higher categories and weak equivalences. |
2 Oct Speaker: Bartek |

Delta and derived functors. |
16 Oct Speaker: Bartek |

Group cohomology. |
23 Oct Speaker: Jeroen |

Bar resolution. |
30 Oct Speaker: Daniel |

Spectral sequences. |
6 Nov Speaker: Pedram |

Techniques of computation. |
13 Nov Speaker: Louis |

Grothendieck spectral sequence of composite functors. |
20 Nov Speaker: Peter |

Gysin sequence. |
27 Nov Speaker: Shintaro |