## Geometry of level curves of harmonic functions

Start: | |
---|---|

End: | |

Venue: | DM 409A |

**Part I:** A survey of geometric results about the zero set of a function u. We consider arc length, curvature and the area enclosed by these sets. We consider several cases, that u is harmonic, an eigenfunction of the Laplacian, or a solution of Schrodinger's equation. [Sept 20]