|Analysis - Mathematical Physics|
|Topic:||Local bound on the number of nodal domains|
|Date:||Friday, November 1|
|Time/Room:||3:30pm - 4:30pm/Simonyi Hall 101|
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 joint work (in progress) with S.Chanillo and E.Malinnikova.