Eigenvalues and Inequalities

May 14 - May 18, 2018

This workshop will bring together researchers with a common mathematical background in spectral analysis of partial differential operators, calculus of variations and functional inequalities.
The goal of the meeting is to stimulate progress and to open new directions in the following topics:

Semi-classical spectral estimates

Shape optimization

Hardy-Sobolev inequalities

Eigenvalues of magnetic Schrödinger and Pauli operators

Attention will be payed not only to the analytic and geometric aspects of the problems, but also to related probabilistic and computational techniques.
The workshop will be a fourth iteration of the series of conferences on “Low eigenvalues of Laplace and Schrödinger operators”,  initiated at the American Institute of Mathematics in May 2006, and later continued at the Oberwolfach Mathematical Institute, February 2009, and at the Banff International Research Station, July 2013.

Workshop program/abstracts