中科院数学与系统科学研究院
数学研究所
学术报告会
报告人: 王国祯 博士(上海数学中心)
题 目:Homotopy groups and the uniqueness of differential structures on spheres
时 间:2016.12.20(星期二), 09:30-11:30
地 点:数学院南楼N913室
Abstract:
By using new techniques based on the algebraic and geometric Kahn-Priddy theorems, we make new computations of stable homotopy groups of spheres.Based on our computation, together with previous results, we now know spheres of dimensions 1, 2, 3, 5, 6, 12, 56, 61 have unique differential structures. Moreover, all the other odd dimensional spheres has exotic structures.