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理学院数理讲坛(2018年第06讲)

发布日期:2018-03-14 作者:理学院

理学院数理讲坛2018年第06讲)

  目:Some impossible geometric results in diffeology

报告人:邬恩信  副教授

  位: 汕头大学

  间:2018315日(星期四14:00-15:00

  点: 阳明学院(包玉书九号楼)303

报告摘要:

Diffeological spaces are natural generalization of smooth manifolds, including infinite-dimensional manifolds (eg. diffeomorphism groups of smooth manifolds) and singular spaces (eg. irrational tori). In this talk, I will give a gentle introduction to the basic theory of diffeology, focused on the geometric aspects --tangent spaces and tangent bundles. I will show two impossible results at the end of the talk: 1) it is impossible to classify all diffeological bundles with respect to smooth homotopy; 2) there is no universal connection 1-form on any universal bundle.

报告人简介:

邬恩信,浙江宁波人,2012年获得加拿大西安大略大学博士学位,之后在奥地利维也纳大学作博士后,现任汕头大学数学系副教授。主要从事代数拓扑和广义流形(diffeology)的研究。