报告题目：Long time behavior of a class of non-homogeneous anisotropic fully nonlinear curvature flows

报告人：盛为民，浙江大学

报告时间：2026年1月12日（周一）14:30

报告地点：20-202

报告摘要：In this talk, I will introduce my recent work with Jiazuo Yang on a class of non-homogeneous anisotropic fully nonlinear curvature flows in $\R^{n+1}$. More precisely, we consider a hypersurface $M$ in $\R^{n+1}$ deformed by a flow along its unit normal with its speed $f(r)\sigma_k^\alpha$ where $\sigma_k$ is the $k$-th elementary symmetric polynomial of $M$'s principle curvatures, $r$ is the distance of the point on $M$ to the origin, $f$ is a smooth nonnegative function on $[0,\infty)$ and $\alpha > 0$. Under some suitable conditions on $f$, we prove that starting from a star-shaped and $k$-convex hypersurface, the flow exists for all time and converges smoothly to a sphere after normalization.

报告人简介：盛为民，浙江大学求是特聘教授。研究方向为微分几何、几何分析，学术研究工作集中在几何流及凸体的几何测度问题和预定曲率问题、完全非线性Yamabe问题、曲率流等方面，相关工作发表在Duke Math. J., JEMS, JDG等学术期刊上。主持国家自然科学基金重点项目与面上项目多项。合作出版教材《解析几何学》、《新文科高等数学》、《高等代数与解析几何》等。曾获国家级教学成果奖二等奖1项，浙江省教学成果奖特等奖1项、一等奖多项。

邀请人：现代分析及其应用研究所