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【系综合学术报告】2026年第17期 || Cantor Sets in Higher Dimensions

【系综合学术报告】


报告人: Prof. Meysam Nassiri伊朗基础科学研究所

时间:2026年5月7日,星期四 下午3:20

地点:双清综合楼 B1010

题目:Cantor Sets in Higher Dimensions

摘要:

While all Cantor sets are topologically equivalent, their geometries vary drastically. What is the possible infinitesimal geometry of Cantor sets generated by smooth expanding maps? When is it impossible to separate two intersecting Cantor sets by small perturbations? What is the precise role of their Hausdorff dimensions in this stability problem? Our aim in this talk is to discuss these fundamental questions in both $\mathbb{R}^n$ and $\mathbb{C}^n$ for all $n$. (Joint work with M. Zareh Bidaki).

报告人简介:

Meysam Nassiri is a faculty member at the School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran. He holds a PhD in Mathematics from IMPA, Brazil. His research focuses on dynamical systems and related areas in topology, geometry, and analysis. A former associate of ICTP, he has been recognized for his contributions, including as an Invited Speaker at the International Congress of Mathematicians (ICM) 2018, the Abu Rayhan Biruni Award (Iran Academy of Science), the Sobouti-Khajepour Award, and the IPM Distinguished Researcher Prize.

邀请人:薛金鑫