学术报告（陈丽娜 3.8）

In this talk, we will give several Bishop-Gromov relative volume comparisons with integral Ricci curvature which improve the results of Petersen-Wei. Using one of these volume comparisons, we derive an estimate for the volume entropy in terms of integral Ricci curvature which substantially improves an earlier estimate of Aubry.  We also extend the almost maximal volume entropy rigidity in the non-collapsing case and almost minimal volume rigidity to integral Ricci curvature. Most of these results are from a joint work with Professor Guofang Wei.