全国微分Harnack不等式专题研讨会 会议通知

全国微分Harnack不等式专题研讨会

会议通知

为了加强国内微分Harnack不等式等相关领域的合作、促进同行专家学者之间的交流、了解最新的前沿研究动态，全国微分Harnack不等式专题研讨会将于2020年11月8日在中国矿业大学数学学院召开。受新冠疫情影响，会议将以腾讯网络会议的模式举行。

邀请专家：

陈大广（清华大学）

方守文（扬州大学）

李逸（东南大学）

牛艳艳（首都师范大学）

吴加勇（上海大学）

王林峰（南通大学）

杨飞（中国地质大学）

赵亮（南京航空航天大学）

张良迪（浙江大学）

会议组委会：任新安、赵亮、方守文

联系人：任新安renx@cumt.edu.cn

腾讯会议号：703703894

大会日程安排（11.8）

报告摘要

报告人：陈大广

题目：Starshaped compact hypersurfaces with prescribed Weingarden curvature in warped product manifolds

摘要：Given a compact Riemannian manifold $M$,thewarped product manifold $\overline{M}$ is defined by$\overline{M} = I \times_h M$,where $I$ is an open

interval in $\Bbb R$ and $h: I\longrightarrow \Bbb R^+$ is the positive differential function. For a positive function $\psi$ defined on $\overline{M} $, the curvature estimates for Hessian equations $\sigma_k(\kappa)=\psi(V,\nu(V))$ are obtained. We also obtain some existence results for the starshaped compact hypersurface $\Sigma$ satisfying the aboveequation with various assumptions.This is the joint work with Professor Haizhong Li (Tsinghua University) and Professor Zhizhang Wang ( Fudan University).

报告人：方守文

题目：Differential Harnack inequalities and their applications under geometric flows

摘要：In this talk we will introduce our work on the differential Harnack inequalities and their applications under the general geometric flow.

报告人：李逸

题目：Ricci-type 流中的Harnack估计和局部曲率估计

摘要：本次报告主要回顾一类Ricci-type 流上的Harnack 估计和局部曲率估计，并介绍它们的应用。

报告人：牛艳艳

题目：Curvatures and Harnack estimates on Kahlermanifold.

摘要：In this talk, we will first review several curvature conditions on Kahler manifold.Then we will talk about the differential harnack estimates of the positive solutions to Hodge Laplace heat equations. These are joint work with Professor Lei Ni.

报告人：吴加勇

题目：Gradient estimates on smooth metric measure spaces

摘要：In this talk, we will talk about gradient estimates and differential Harnack inequalities for some heat type equations on smooth metric measure spaces. As applications, we obtain some geometric properties for a class of solutions. In the end, we give some open questions about Harnack inequalities.

报告人：徐庞

题目：Parabolic frequency monotonicity and a theorem of Hardy-Polya-Szego

摘要：In this short talk, we will first review the applications of matrix Li-Yau-Hamilton estimates of heat equation on Riemannian manifolds to the monotonicity of the parabolic frequency. Then we will talk about a theorem of Hardy-Polya-Szego on Kaehler manifolds. Finally, we give a generalization of the theorem of Hardy-Polya-Szego to the Kaehler-Ricci flow case. This is a joint work with Haoyue Liu.