EVENT DETAILS AND ABSTRACT

Title: Conservation Laws and Generalized Isometric Embeddings
Speaker: Nabil Kahouadji
Speaker Info: Universite Paris Diderot (France)
Brief Description:
Special Note:
Abstract:

I am interested in finding (or constructing) conservation laws for a class of PDE by answering the "generalized isometric problem of vector bundle", which generalizes the classical isometric embedding problem of Riemannian manifolds. I will present the motivations and explain how one can use the exterior differential systems and the Cartan-Kähler theory to answer the problem in a geometric way. In addition to the problem's motivations, I apply the main result to construct conservation laws for divergence-free Contravariant 2-tensors, in particular the energy-momentum tensor.