报告名称：Mixed volume preserving flow by powers of homogeneous curvature functions of degree one

报告专家： 郭顺滋

专家所在单位：云南师范大学

报告时间：2021年7月6日 15:00-16:00

报告地点：腾讯会议

专家简介：郭顺滋，男，在湖北大学取得博士学位，后在四川大学进行博士后研究工作，现任云南师范大学副教授，硕士研究生导师。主持国家自然科学基金1项，省部项目5项。主要研究方向是子流形的微分几何和几何分析，已在Communications in Analysis and Geometry、International Journal of Mathematics、Journal of the Korean Mathematical Society、数学学报等数学期刊上发表论文十余篇、出版学术专著一部。

报告摘要：In this talk, we will considerthe evolution of a closed hypersurface inthe Euclidean spaceunder a mixed volume preserving flow.The speedisa power(

)ofhomogeneous curvature functions of degree one and either convex or concave plus a mixed volume preserving term.We will showthat if the initial hypersurfacesatisfies a suitable pinching condition, there exists a unique, smooth solution of the flow for all times,and the evolving hypersurfaces converge exponentially to a roundsphere, enclosing the same mixed volume as the initial hypersurface.

邀请人：毛井

（审稿：郑大彬）