3 oktober 2005, kl 13.15-14.15, Uppsala, rum 3:513.

Dmitry Jakobson (McGill University): On nodal sets, critical points, and quasi-symmetry properties of eigenfunctions

Abstract. We will discuss the following questions: approximating a "typical" point on a manifold by nodal sets of eigenfunctions of the Laplacian; "quasi-symmetry" properties of positive and negative parts of eigenfunctions. We shall also describe a construction of a metric on the 2-torus with a sequence of eigenfunctions, each of which has exactly 16 critical points.