Analysis - Mathematical Physics | |

Topic: | Local bound on the number of nodal domains |

Speaker: | Aleksandr Logunov |

Affiliation: | Princeton University |

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.