Speaker: 

Alexander Logunov

Institution: 

Princeton University

Time: 

Thursday, December 19, 2019 - 11:00am

Location: 

RH 306

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.