Graduate Geometric Analysis Reading Seminar: Difference between revisions

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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 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 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.
The topic for Spring 2025 is '''Quantitative differentiation in Riemannian geometry and elliptic/parabolic PDEs''', supervised by Ruobing Zhang.
{| class="wikitable"
!Date               
!Speaker
!Title
!Reference
|-
|1/28
|Ruobing Zhang
|Introduction to cone structures and monotonicity
|
|-
|2/4
|Ruobing Zhang
|
|
|}


To join the mailing list, send an email to: math-geom-reading+subscribe@g-groups.wisc.edu.
=== Past topics: ===
=== Fall 2024 Schedule ===
Fall '24: Ricci flow
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!Date                
!Date
!Speaker
!Speaker
!Title
!Title
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=== Past topics: ===
Spring '24: Heat-kernel approach to the Atiyah-Singer index theorem
Spring '24: Heat-kernel approach to the Atiyah-Singer index theorem


Latest revision as of 15:52, 29 January 2025

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
2/4 Ruobing Zhang

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.

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