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 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 === | === Fall 2024 Schedule === | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 7: | Line 10: | ||
!Speaker | !Speaker | ||
!Title | !Title | ||
! | !Reference | ||
|- | |- | ||
| | |9/10 | ||
| | |Sigurd Angenent | ||
| | |Introduction to the Ricci flow | ||
| | | | ||
|- | |- | ||
| | |9/17 | ||
| | |Alex Waldron | ||
| | |Rapid course in Riemannian geometry | ||
| | |[https://people.math.wisc.edu/~awaldron3/Notes/Crash%20course%20091724 Notes] | ||
|- | |- | ||
| | |9/24 | ||
| | |Ruocheng Yang | ||
| | |Evolution equations under Ricci flow | ||
| | |Topping Ch. 2, [https://people.math.wisc.edu/~awaldron3/Notes/Ruocheng%20Ch.%202%20notes.pdf Notes] | ||
|- | |- | ||
| | |10/1 | ||
| | |Kaiyi Huang | ||
| | |The maximum principle | ||
| | |Topping Ch. 3, [https://people.math.wisc.edu/~awaldron3/Notes/Kaiyi%20maximum%20principle 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 | ||
| | |[https://people.math.wisc.edu/~awaldron3/Notes/Andoni%20sphere%20theorems%20talk Notes] | ||
|- | |- | ||
| | |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: G<sub>2</sub> 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. | |||
Latest revision as of 02:56, 10 November 2024
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) | Ricci flow and sphere theorems | Notes |
| 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.