Thu, 11:00-12:00 pm. Rowland Hall 306
Title: Geometry of nodal domains.
Abstract: Courant’s theorem states that the k-th eigenfunction of the Laplace operator on a closed Riemannian manifold has at most k nodal domains. Given a ball of radius r, we will discuss how many of nodal domains can intersect a ball (depending on r and k). Based on a joint work (in progress) with S.Chanillo and E.Malinnikova.