Room 638, Astronomy-Mathematics Building, NTU

(台灣大學天文數學館 638室)

The Bounds of Housdorff Measure of Nodal Sets

Jui-En Chang (National Taiwan University)

Finding an asymptotic bound of the measure of the nodal set is an interesting problem which is first posed by Yau for the Laplacian operator. Recently, the optimal lower bound is established for closed smooth manifolds.

In this talk, I'll give a survey on some of the estimation of Hausdorff measure of nodal sets of several different problems.