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Selected problems related to the stable homotopy groups of spheres  

发布者:数学科学学院 发布时间:2020-04-24 浏览次数:

报告人:Prasit Bhattacharya

报告时间:2020年4月24日,上午9:00-10:00

报告方式:会议使用瞩目会议软件(软件下载地址为https://www.zhumu.com/download),会议号为146538096 报告人及内容简介:

Prasit Bhattacharya,美国印第安纳大学博士,现为美国维吉尼亚大学博士后,曾在Adv. in math 等知名杂志发表论文数篇,研究方向:代数拓扑。

The Stable homotopy groups of spheres is a graded ring which is a fundamental object in Mathematics. This ring is at the interface between geometry and algebra as it is simultaneously the cobordism ring of frame manifolds and the ring of K-theoretic groups of finite sets. In this talk, I will introduce and describe my contribution towards two classical problems in the subject:

(1) Periodicity problems of v_n-self-maps, which results in infinite families in the stable homotopy groups of spheres.

(2) Homotopy coherence of associative structure of a class of objects called Moore spectra, which throws light on structural properties of the sphere spectrum (whose homotopy groups form the ring of stable homotopy groups of spheres).