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	Yijie He	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	Alex Waldron	Curvature pinching and preserved curvature properties	Topping Ch. 9
11/05	Andoni Royo-Abrego (Tübingen)	Huisken's sphere theorem
11/12	Anuk Dayaprema	Perelman's W-functional	Topping Ch. 8

Past topics:

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

Fall '23: G₂ 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.