Spectral Theory Seminar 

09/05/2003, 14:30 — 15:30 — Room P4.35, Mathematics Building
Pedro Freitas, Instituto Superior Técnico

Open problems in Spectral Geometry I

This is the first in a series of seminars in Spectral Theory, whose purpose is to present a basic introduction to the subject, with emphasis on current research topics and their relation to other areas of Mathematics, namely, Partial Differential Equations, Geometry, Probability Theory, Number Theory, etc. The presentation will be based upon a collection of open problems, and these first three lectures will cover the following topics: I. Isoperimetric inequalities II. Asymptotic behaviour of eigenvalues III. Properties of eigenfunctions