This is the webpage for the Cheeger-Colding-Naber seminar taking place at UC Berkeley in Fall 2024.
If you are interested in giving a talk at the seminar, please feel free to sign up here.
Thursday 17:10-19:00 (occasionally 17:10-20:00 :D) at Evans 891 or on Zoom(Meeting ID: 93009649861).
[B] Richard Bamler, Cheeger-Colding-Naber Theory.
[C] Jeff Cheeger, Degenerations of Riemannian metrics under Ricci curvature bounds.
[CC] Jeff Cheeger, Tobias Colding, On the structure of spaces with Ricci curvature bounded below. II.
[CN] Jeff Cheeger, Aaron Naber, Regularity of Einstein Manifolds and the Codimension 4 Conjecture.
[CG] Jeff Cheeger, Gang Tian, Anti-Self-Duality of Curvature and Degeneration of Metrics with Special Holonomy.
[CJN] Jeff Cheeger, Wenshuai Jiang, Aaron Naber, Rectifiability of singular sets in noncollapsed spaces with Ricci curvature bounded below.
[JN] Wenshuai Jiang, Aaron Naber, L2 Curvature Bounds on Manifolds with Bounded Ricci Curvature.
[R] Xiaochun Rong, Notes on manifolds of Ricci curvature bounded below.
[S] Gábor Székelyhidi, Kähler Einstein metrics.
Sep 5. Organizing meeting.
Sep 12. Classical results and preliminaries, convergence I. References: [R, 1][C, 1-7][S,7]. (Speaker: Yifan Chen)
Sep 19. Classical results and preliminaries, convergence II. References: [R, 2]. (Speaker: Carlos Esparza)
Sep 26. Quantitative Splitting Theorem I. References: [R, 3.1-3.3][S,8]. (Speaker: Keshu Zhou）
Oct 3. Quantitative Splitting Theorem II. References: [R, 3.4-3.6][S,7-8]. (Speaker: Yueqing Feng)
Oct 10. Volume comparison. References: [R, 3.7-3.8][C, 10][S,9]. (Speaker: Garrett Brown)
Oct 17. Structure theorem. References: [R, 3.7-3.9][C, 10][S,9]. (Speaker: Ming Hsiao)
Oct 24. Cheeger Naber codim 4 theorem I. References: [CN]. (Speaker: Kai Xu)
Oct 31 Cheeger Naber codim 4 theorem II. References: [CN]. (Speaker: Kai Xu)
Nov 7. The isometry group of a Ricci limit space. References: [CC] (Speaker: Jikang Wang)
Nov 14. The canonical reifenberg theorem. References: [CJN] (Speaker: Xingyu Zhu)
Nov 21. Cheeger Naber codim 4 theorem III. References: [CN]. (Speaker: Kai Xu)
Nov 28. Thanksgiving.
Dec 5. (Speaker: Junsheng Zhang)
Dec 12. (Speaker: Qin Deng)