2018
May
08

# T&G: Amitai Yuval (Hebrew University), The Hodge decomposition theorem for manifolds with boundary

12:00pm to 1:30pm

## Location:

Room 110, Manchester Buildling, Jerusalem, Israel

The Hodge decomposition theorem is the climax of a beautiful theory involving geometry, analysis and topology, which has far-reaching implications in various fields. I will present the Hodge decomposition in compact Riemannian manifolds, with or without boundary. The non-empty-boundary case is more interesting, as it requires the formulation of an appropriate boundary condition. As it turns out, the Hodge-Laplacian has two different elliptic boundary conditions generalizing the classical Dirichlet and Neumann conditions, respectively.