# Fields Academy Shared Graduate Course: Algebraic Geometry

**Instructor:** Prof. Kirill Zainoulline**Email:**

**Application Deadline:** January 17th, 2021**Lecture Times:** Mondays | 11:30 am - 12:50 pm and Wednesdays | 10:00 am - 11:20 am **Course Dates:** January 11th - April 12th, 2021

##### Course Overview

A brief overview of commutative algebra: rings and ideals, Nakayama's Lemma, localization, Krull-dimension, direct-limits, integral dependence. Toward algebraic varieties: Regular functions, algebraic sets, Hilbert's Nullstellensatz, Zariski topology, ringed spaces, affine and projective varieties. Toward sheaves and group schemes: functors of points, Grothendieck topologies, representable functors, group schemes, tori, Grassmannians, torsors and twisted forms, quadrics and Severi-Brauer varieties.

***Lecture recordings can be found here**

## Schedule

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |

10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |

11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |