Graduate Geometric Analysis Reading Seminar

The graduate reading seminar in differential geometry / geometric analysis meets Tuesdays 4-6pm in Van Vleck B123. Students will give literature talks over the semester with participation by several faculty (Sean Paul, Alex Waldron, Ruobing Zhang, and Sigurd Angenent). To join the mailing list, please send an email to: math-geom-reading+subscribe@g-groups.wisc.edu.

The topic for Spring 2025 is Quantitative differentiation in Riemannian geometry and elliptic/parabolic PDEs, supervised by Ruobing Zhang.

Date	Speaker	Title	Reference
1/28	Ruobing Zhang	Introduction to cone structures and monotonicity

Past topics:

Fall '24: Ricci flow

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)	Ricci flow and sphere theorems	Notes
11/12	Anuk Dayaprema	Perelman's W-functional	Topping Ch. 8

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.