报告人:王常亮(Max Planck Institute, MPI)
时间:2019年12月10日(星期二)14:00—14:50
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。
欢迎参加!