Title: Defect Measures for Eigenfunctions with Maximal L^\infty Growth
Speaker: Jeff Galkowski
Speaker Info: McGill/Stanford
Brief Description:
Special Note:
Abstract:
We characterize the defect measures of any sequence of eigenfunctions with maximal $L^\infty$ growth, showing that they must be neither more concentrated nor more diffuse than the zonal harmonics. We then discuss how these results can be used to understand the geometry of manifolds having maximal eigenfunction growth.Date: Monday, April 17, 2017