标题: Entropy and heat kernel bounds of Ricci flow, and the application to the Kahler-Ricci flow
报告人: Wangjian Jian (AMSS)
时间: 2021年 1月8日, 15:30-17:00
地点: Tencent Room: 613 616 946, Code:112233
摘要：We will introduce the recent preprint of Richard Bamler. First, we will introduce the notions of Wasserstein distance and variance, and talk about their important properties, like their monotonicity along the Ricci flow. Then we will show how to use the Nash entropy to bound the volume of balls. Then we will briefly introduce the compactness theory of the space of Ricci flow and the properties of the limiting space. Next, we will consider the collapsing long-time solution of Kahler-Ricci flow on minimal models. We will show how to apply Bamler's result to reprove the relative volume comparison of Tian-Zhang, and show that this approach also applies to the Kahler-Ricci flow on minimal models. If time permits, we will also show how to obtain the local Ricci bound if the Kodaira dim of the manifold is one.
