Note: dates are subject to change.

Week | Class Dates | Topic | Notes |

1 | 01/12, 01/14, 01/16 | Opening remarks; Review of manifold theory | |

2 | 01/19, 01/21, 01/23 | Review of manifold theory; differential forms | |

3 | 01/26, 01/28, 01/30 | Differential forms | |

4 | 02/02, 02/04, 02/06 | Differential forms; DeRham cohomology | |

5 | 02/09, 02/11, 02/13 | DeRham cohomology | |

6 | 02/16, 02/18, 02/20 | DeRham cohomology | |

7 | 02/23, 02/25, 02/27 | DeRham cohomology | Spring break 03/01-03/05 |

8 | 03/08, 03/10, 03/12 | Remarks on Riemannian structures and Hodge theory | |

9 | 03/15, 03/17, 03/19 | Vector bundles; further aspects of Riemannian geometry | |

10 | 03/22, 03/24, 03/26 | Connections | |

11 | 03/29, 03/31, 04/02 | Characteristic classes | |

12 | 04/05, 04/07, 04/09 | Characteristic classes | No meeting 04/09 |

13 | 04/12, 04/14, 04/16 | Characteristic classes | |

14 | 04/19, 04/21, 04/23 | Characteristic classes |