基础数学系学术报告
--微分几何讨论班(2025年秋第4讲)
Some configuration results for area-minimizing cones
张永胜 教授
(首都师范大学)
时间:2025年12月11日 15:00-16:30
地点:沙河主E806
摘要:Blowups at interior of area-minimizing currents give area-minimizing cones, so to search for area-minimizing cones is an important subject in geometric measure theory. Recently, we discovered very general configuration result. In particular, given any closed minimal submanifold in some Euclidean sphere, every cone over the minimal products of sufficiently many copies of the submanifold turns out to be area-minimizing.
报告人简介:张永胜,首都师范大学教授、博导。清华大学学士、硕士,纽约州立大学石溪分校博士。主要研究方向为子流形理论,在国际著名数学期刊JDG, Adv Math, JMPA, CVPDE等发表论文多篇。主持国家自然科学基金面上项目、国家级青年科学基金项目,参与重点项目,为2020至2025年度ICTP Associate。
邀请人:谢振肖