Geometric Analysis Reading Seminar, Fall 2024
Main Topic: Cheeger-Colding theory Time: 3pm on Thursday Location: 2-255
References:
- Sep 12: Benjy Introduction to the Cheeger-Colding-Naber theory
- Sep 19: Xinrui Volume rigidity of spheres [Col96a, Col96b]
- Sep 26: Yiqi Structure of non-collapsed Ricci limit space [CC97]
- Oct 3: Dain Almost rigidity of warped product spaces I [CC96] Ch 1 and 3
- Oct 17: Jingze Almost rigidity of warped product spaces II [CC96] Ch 4 and 7
- Oct 31: Alex The Calabi-Yau conjectures for embedded surfaces [CM08]
- Nov 7: Tang-Kai Almost splitting theorem of limit spaces [CC96] Ch 6
- Nov 14: Aaron
- Dec 5: Ruojing
- Dec 12: Wenkui
[Bam16] R. Bamler, Cheeger-Colding-Naber theory.
[Che01] J. Cheeger, Degeneration of Riemannian metrics under Ricci curvature bounds.
[CC96] J. Cheeger and T. H. Colding, Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products.
[CC97] J. Cheeger and T. H. Colding, On the structure of spaces with Ricci curvature bounded below. I.
[Col96a] T. H. Colding, Shape of manifolds with positive Ricci curvature
[Col96b] T. H. Colding, Large manifolds with positive Ricci curvature
[CM08] T. H. Colding and W. P. Minicozzi II, The Calabi-Yau conjectures for embedded surfaces.
Previous seminars: link.
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