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