This is a student reading seminar on the convergence of Ricci flows with bounded scalar curvature and entropy (co-organized with Jean-Francois Arbour). We will be reading the recent paper of Richard Bamler, Convergence of Ricci Flows with bounded scalar curvature. If interest prevails, we may also be consult the recent papers of Xiuxiong Chen and Bing Wang, Spaces of Ricci flows (I), (II).
The seminar will begin with some introductory talks on Perelman’s first paper (who L-geometry and induction of scale are motivations for Bamler’s techniques).
Time and location: Wednesday 17:00-18:30. Unless otherwise noted, we will meet at NYU Courant Institute Room 905.
|5 Sep||Jean-Francois Arbour||L-Geometry||Perelman’s First Paper||Columbia|
|12 Sep||Keaton Naff||Kappa-Compactness and the Canonical Neighborhood Theorem||Kleiner and Lott’s Notes||NYU|
|19 Sep||No Speaker||Bamler's Paper Sections 1-3||Bamler (2016)||NYU|
|26 Sep||Keaton Naff and Freid Tong||Heat Kernel Estimates in Ricci Flow||Bamler-Zhang (2017)||NYU|
|3 Oct||Keaton Naff||Heat Kernel Estimates and Distance Distortion||Bamler-Zhang (2015)||NYU|
|10 Oct||No Meeting|
|17 Oct||Alec Payne||L2 Curvature Bounds in 4D Ricci Flow||Bamler-Zhang (2017)||NYU|
|24 Oct||Jean-Francois Arbour||Anderson's Orbifold Compactness||Anderson (1990)||Columbia|
|31 Oct||Keaton Naff||Anderson's Orbifold Compactness 2||Anderson (1990)||NYU|
|7 Nov||Discussion||Cheeger-Colding-Naber Theory||Bamler's Notes||Columbia|
|14 Nov||No Meeting|
|21 Nov||No Meeting||Thanksgiving|
|28 Nov||Discussion||Cheeger-Colding-Naber Theory||Bamler's Notes||Columbia|