2017
Jun
08

# Wolf Prize Lecture - Rick Schoen (Stanford): The geometry of eigenvalue extremal problems

11:00am to 12:00pm

## Location:

Levin building, lecture hall 8

Title: “The geometry of eigenvalue extremal problems”

Abstract: When we choose a metric on a manifold we determine the spectrum of

the Laplace operator. Thus an eigenvalue may be considered as a functional

on the space of metrics. For example the first eigenvalue would be the fundamental

vibrational frequency. In some cases the normalized eigenvalues are bounded

independent of the metric. In such cases it makes sense to attempt to find

critical points in the space of metrics. In this talk we will survey two cases in

Abstract: When we choose a metric on a manifold we determine the spectrum of

the Laplace operator. Thus an eigenvalue may be considered as a functional

on the space of metrics. For example the first eigenvalue would be the fundamental

vibrational frequency. In some cases the normalized eigenvalues are bounded

independent of the metric. In such cases it makes sense to attempt to find

critical points in the space of metrics. In this talk we will survey two cases in