勷勤数学•专家报告

题      目：On minimizing cones for Euler-Dierkes-Huisken variational integrals

报  告  人： 崔洪斌 副研究员  (邀请人：姚泽科)

                                          中国科学技术大学

时      间： 3月25日  16：00-17:00

地     点：数科院东楼401

报告人简介:

       崔洪斌，中国科学技术大学特聘副研究员，小米青年学者。主要从事极小曲面和面积最小锥相关问题的研究，在Calc. Var. PDE, J. Differ. Equ., J. Funct. Anal., Math. Ann.等知名期刊发表多篇研究论文。

摘      要：

       We continue the study of the Euler-Dierkes-Huisken variational problem, building on (Cui-Xu, Math. Ann. 2025). Firstly, we discuss how to improve Lawlor’s slicing proof (also called the directed slicing method) for area-minimizing Simons cones and provide a complete answer to a problem studied by Dierkes-Huisken (Math. Ann. 2024). We then address the generalization of Lawlor’s famous curvature criterion (Mem. Amer. Math. Soc., 1991) to Euler–Dierkes–Huisken variational integrals, with particular focus on the dynamical properties of vanishing-angle solutions to the corresponding ODE.

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