February 25 (Friday), 4:00-5:00.
Link :
https://meet.google.com/jvr-izyy-ngd?authuser=0
Title : Effects of perturbation on low energy Laplace eigenfunctions
Abstract : In this talk, we will discuss the effects of perturbation on
certain topological and geometrical properties of the nodal sets/vanishing
sets of Laplace eigenfunctions. Our discussion will be centred around a
well-known conjecture of Payne which states that: the zero set
corresponding to the second Laplace eigenfunction of any bounded planar
domain should intersect the boundary at exact two points. We will look
into certain stability properties of the nodal sets and obtain some
interesting results concerning the conjecture.