Title of the course: PDEs on manifolds
Instructor: Dr. Padi Fuster Aguilera & Dr. Aram Bingham
Institution: University of Colorado Boulder & Colorado School of Mines
Dates: 15-21 July 2024
Prerequisites: PDE course on R^n, some Functional Analysis, some Riemannian Geometry
Level: Graduate, advanced undergraduate
Abstract: In this course, we will give an introduction to the theory of PDE on Riemannian manifolds, in particular those of fluid dynamics equations on Riemannian surfaces. Topics will include: Laplacian operators on manifolds, Hodge Theory, derivation of fluid equations.
Language: EN