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Ricci Flow Reading Group

The following are notes from a reading group on Ricci flow.

Time

Spring 2025, Fridays 3:00-4:00pm

Audience Notes

The following are notes from a reading group on Ricci flow.

Date Topic Speaker Reference
Feb 1 Short-Time Existence and Uniqueness Xinran [She02]
Feb 14 Hamilton’s Existence Theorem Huy [Ham86]
Feb 21 Tame Fréchet Spaces Huy [Ham86]
Feb 28 The Nash-Moser Inverse Function Theorem Huy [Ham86]
Mar 7 Local Invertibility Huy [Ham86]
Mar 14 Higher-Dimension Pinching Estimate Xinran [CLN, §7.1]
Mar 28 Higher-Dimension Pinching Estimate 2
Four manifolds with positive curvature 		Xinran [CLN, §§7.1-7.3]

References

  1. Sheridan, A. (2002). Hamilton's Ricci Flow. Mathematical Reviews, 105(6), 845–860.
  2. Hamilton, R. S. (1986). Three-manifolds with positive Ricci curvature. Journal of Differential Geometry, 17(2), 255–306.
  3. Chow, B., Lu, P., and Ni, L. (2006). Hamilton's Ricci Flow. American Mathematical Society.