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  • 天元讲堂(12. 10):Perelman's functionals on compact manifolds with isolated conical singularities
  • 浏览量:10 发布人: 发布时间:2019-12-09
  • 报告题目Perelman's functionals on compact manifolds with isolated conical singularities

    报告人王常亮Max Planck Institute MPI

    时间20191210日(星期二)14:0014:50

    地点:苏州大学本部精正楼(数学楼)410

      

    摘要I will report some joint work with Prof. Xianzhe Dai about the Perelman's functionals on manifolds with conical singularities. We extend some theory of the Perelman's functionals on compact smooth manifolds to compact manifolds with isolated conical singularities. In particular, for the lambda-functional, this is essentially an eigenvalue problem for a Schrodinger operator with singular potential. We obtain a certain asymptotic behavior of eigenfunctions near the singularities. This asymptotic behavior plays crucial roles in applications, e.g. deriving the variation formulas of the lambda-functional.

      

    报告人简介:

    王常亮2015年在美国UCSB取得博士学位,现为德国马普所助理教授(Assistant Professor),研究方向为几何分析。

      

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