Graduate Geometric Analysis Reading Seminar: Difference between revisions
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Details about the seminar | Details about the seminar | ||
This is the graduate reading seminar in differential geometry / geometric | This is the graduate reading seminar in differential geometry / geometric PDEs. Students will be assigned to give literature talks on a topic over the semester, with some faculty attendance. | ||
The topic for Fall and Spring 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 Fall and Spring 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. | ||
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=== Past topics: === | === 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. | |||
Revision as of 20:52, 6 September 2024
Details about the seminar
This is the graduate reading seminar in differential geometry / geometric PDEs. Students will be assigned to give literature talks on a topic over the semester, with some faculty attendance.
The topic for Fall and Spring 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.
Who to contact with questions: Alex Waldron
Meeting time: Tuesday 4-6pm
Meeting location: Van Vleck B211
Fall 2024 Schedule
| Date | Speaker | Title | Comments |
|---|---|---|---|
| 9/10 | Sigurd Angenent | Introduction to the Ricci flow | |
| 9/17 | TBD | Evolution equations under Ricci flow | Topping Ch. 2 |
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.