Sunday April 25th, 2021 | |
| Contact Name: | Bing Wang, University of Science and Technology of China |
| Details: | |
| Inspired by the Li-Yau estimates, we localize the entropy functionals of G. Perelman, and generalize his no-local-collapsing theorem and pseudo-locality theorems. The improved no-local-collapsing theorem can be used to study the general Kahler-Ricci flow. The improved pseudo-locality theorem can be used to show the continuous dependence, with respect to the initial metric in the Gromov-Hausdorff topology, of the Ricci flow on manifolds satisfying a lower Ricci-curvature bound; and to prove the compactness for the moduli of Kahler manifolds with bounded scalar curvature that satisfy a rough locally-almost-Euclidean condition. http://www.math.stonybrook.edu/geomfest/ | |