ISM Discovery School in Spectral Geometry and Shape Optimization

The school is aimed at graduate students but it will also be accessible to advanced undergraduate students. The goal of the school is to give an overview of a selection of recent topics in spectral geometry and shape optimization, which are closely related areas of geometric analysis. Each topic will be presented in a 4-hour mini-course by a leading expert. These lectures will be complemented by supervised exercise sessions. This school is particularly well timed given that both spectral geometry and shape optimization have witnessed major advances in recent years.

The school will focus on some important recent developments in spectral geometry and shape optimization and will emphasize the interrelations between these two fields. Given that the local student community is more familiar with spectral geometry than with shape optimization, the mini-courses in spectral geometry will be offered at an advanced level, while the mini-courses in shape optimization will be both introductory and advanced.