其他

当前位置 : 首页 > 其他 > 学术活动

Quantitative Estimates on the Singular Sets of Alexandrov Spaces

编辑:xyx 时间:2018年07月08日 访问次数:138

浙江大学数学科学学院九十周年院庆系列活动之五十二

 
题目:  Quantitative Estimates on the Singular Sets of Alexandrov Spaces 
报告人:李楠(CUNY) 
时间:7月9日(周一) 10:00-11:00  
地点: 工商楼4楼报告厅 


摘要: We study the quantitative singular sets $mathcal S^k_epsilon$ for collapsed Alexandrov spaces. We prove a new covering theorem and the packing estimates for $mathcal S^k_epsilon$. We also show that $mathcal S^k_epsilon$ are $k$-rectifiable, and for every $1le kle n-2$, we construct examples for which $mathcal S^k_epsilon$ is a Cantor set with positive $mathcal H^k$-measure. This is a joint work with Aaron Naber.


联系人:王枫(  wfmath@zju.edu.cn)