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NCTS Differential Geometry Seminar
 
15:30 - 14:30, August 22, 2017 (Tuesday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
A Survey on  Frequency Function
Jui-En Chang (National Taiwan University)

Abstract

In this talk, we will give an informal report on frequency function that aims to cover the following things:

1. Basic case: frequency function for a harmonic function in Euclidean space.

2. How to generalize this method to a Riemannian manifold.

3. Some important problems using frequency function method (Survey)

     i. Unique continuation (Garofalo, Lin 1986)

     ii. Harmonic function with polynomial growth (Colding, Minicozzi 1997)

     iii. Positive mass theorem (Schoen, Yau 2017)

     iv. Vanishing order of eigenfunction (Mangoubi 2013).



 

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 (C) 2017 National Center for Theoretical Sciences