Asymptotic estimates on the geometry of Laplace eigenfunctions
Dr. Mayukh Mukherjee,
Technion Institute of Technology, Israel
| Speaker |
Dr. Mayukh Mukherjee,
Technion Institute of Technology, Israel
|
|---|---|
| When |
Aug 08, 2017
from 04:00 PM to 05:00 PM |
| Where | LH 006 |
| Add event to calendar |
vCal
iCal
|
Abstract: Given a closed smooth Riemannian manifold M, the Laplace operator is known to possess a discrete spectrum of eigenvalues going to infinity. We are interested in the properties of the nodal sets and nodal domains of corresponding eigenfunctions in the high energy (semiclassical) limit. We focus on some recent results on the size of nodal domains and tubular neighbourhoods of nodal sets of such high energy eigenfunctions (joint work with Bogdan Georgiev).