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4D Ricci Flow Learning Seminar

Time

Fall 2025, Tuesdays 3-5pm
Spring 2026, Thursdays 1-2:30pm

Audience Notes

The following are notes from a learning seminar on 4D Ricci flow.

Date Notes Speaker
Sep 9 Introduction Eric
Sep 16 11/8 conjecture Gabriele
Oct 7 Furuta's 10/8 Theorem Anthony
Oct 14 3-Surgery Alex
Oct 21 Hichin-Thorpe Inequalities Xinran
Dec 2 Metric Flow Eric
Dec 9 Expanding Ricci Solitons, Asymptotoic to Cones Eric
Feb 12 Linear stability and instability of Kähler Ricci solitons 1 Anthony
Feb 19 Linear stability and instability of Kähler Ricci solitons 2 Anthony
Feb 26 Linear stability and instability of Kähler Ricci solitons 3 Alex
Mar 5 BCCD soliton Eric
Mar 11 Poincaré-Einstein 4-manifolds with conformally Kähler geometry 1 Xinran
Apr 2 Poincaré-Einstein 4-manifolds with conformally Kähler geometry 2 Xinran

References

  1. [CKM25] B. Chow, B. Kotschwar, and O. Munteanu, Ricci Solitons in Dimensions 4 and Higher, Mathematical Surveys and Monographs, vol. 293, American Mathematical Society, Providence, RI, 2023. https://bookstore.ams.org/surv-293
  2. [Deb19] A. Debray, Furuta’s 10/8 Theorem, 2019. https://adebray.github.io/lecture_notes/s19_furuta.pdf
  3. [Bam21] R. H. Bamler, Recent Developments in Ricci Flows, Notices of the American Mathematical Society, vol. 68, no. 9 (2021), pp. 1486–1498. https://www.ams.org/notices/202109/rnoti-p1486.pdf
  4. [NO25] K. Naff and T. Ozuch, Linear stability and instability of Kähler Ricci solitons, 2025. https://arxiv.org/abs/2511.15885
  5. [BCCD22] R. H. Bamler, C. Cifarelli, R. J. Conlon, and A. Deruelle, A new complete two-dimensional shrinking gradient Kähler-Ricci soliton, 2022. https://arxiv.org/abs/2206.10785
  6. [LL25] M. Li and H. Liu, Poincaré–Einstein 4-manifolds with conformally Kähler geometry, 2025. https://arxiv.org/abs/2510.04928