# Graduate Geometric Analysis Reading Seminar

The graduate reading seminar in differential geometry / geometric analysis meets **Tuesdays 4-6pm** in **Van Vleck B211**. Students will give literature talks over the semester with participation by several faculty (Sean Paul, Alex Waldron, Ruobing Zhang, and Sigurd Angenent).

The topic for Fall 2024 is **Ricci flow**. We will cover the fundamentals in the fall and try to get through most of Perelman's proof of the Poincaré conjecture before the end of the year. We may also dip into the proof of Thurston's geometrization conjecture.

To join the mailing list, send an email to: math-geom-reading+subscribe@g-groups.wisc.edu.

### Fall 2024 Schedule

Date | Speaker | Title | Reference |
---|---|---|---|

9/10 | Sigurd Angenent | Introduction to the Ricci flow | |

9/17 | Alex Waldron | Rapid course in Riemannian geometry | Notes |

9/24 | Ruocheng Yang | Evolution equations under Ricci flow | Topping Ch. 2, Notes |

10/1 | Kaiyi Huang | The maximum principle | Topping Ch. 3, Notes |

10/8 | Anuk Dayaprema | Short-time existence for the Ricci flow | Topping Ch. 4-5 |

10/15 | Ricci flow as a gradient flow | Topping Ch. 6 | |

10/22 | Ruobing Zhang | The compactness theorem for the Ricci flow | Topping Ch. 7 |

10/29 | |||

11/05 | Andoni Royo-Abrego (Tübingen) | Huisken's sphere theorem |

### Past topics:

Spring '24: Heat-kernel approach to the Atiyah-Singer index theorem

Fall '23: G_{2} geometry

Spring '23: Yau's proof of the Calabi conjecture

Fall '22: Spin geometry and the index theorem

Spring '22: Differential-geometric approach to GIT.