This is a topics course on rational projective homogeneous spaces, usually written G/P. We will focus on explicit descriptions of these spaces.

Classes are on Monday, Wednesday, and Friday, 1:50 - 2:45pm, online.

There is no single textbook for the course. I will send notes and references by email, and post some here.

A rough schedule of topics is below, subject to change and update.

Feb 1-5 | Flag varieties (tangent weights, Schubert varieties, Plucker coordinates) |

Feb 8-12 | Flag varieties (line bundles and representations) |

Feb 15-19 | Symplectic flag varieties |

Feb 22-26 | Symplectic flag varieties, cont'd, and student presentations |

Mar 1-5 | Lie theory |

Mar 8-12 | Lie theory (cont'd) |

Mar 15-19 | The G_{2} flag variety |

Mar 22-26 | ICERM workshop, student presentations |