Home Page of Alistair Savage | uOttawa Department of Mathematics and Statistics | CRM Thematic Semester |

Date |
Notes Sections |
Material
| Recommended Exercises |

Jan 6 10am |
1.1, 1.2 | Associative algebras and their modules, finite-dimensional algebras | 1.1.1, 1.1.2, 1.2.1, 1.2.2 |

Jan 6 2pm |
2.1, 2.2 | Grothendieck groups, functors | 2.1.1, 2.2.1, 2.2.2 |

Jan 8 10am |
2.3, 3.1, 3.2 | Weak categorification, the Weyl algebra, the nilcoxeter algebras and their modules | 2.3.1, 2.3.2, 3.2.1 |

Jan 9 10am |
3.3 | Categorification of the polynomial representation of the Weyl algebra | 3.3.1, 3.3.2 |

Jan 13 10am |
4.1, 4.2 | Categorification of the Hopf algebra of symmetric functions | 4.2.1 |

Jan 13 2pm |
4.3–4.5 | Categorification of the Fock space representation of the Heisenberg algebra | 4.3.1, 4.4.1, 4.4.2 |

Jan 15 10am |
5.1–5.3 | Strong categorification | 5.1.1, 5.3.1 |

Jan 16 10am |
5.4–5.6 | Strong categorification of the Heisenberg algebra, further directions | 5.4.1 |

Lecture notes are posted below.