Advanced Topics in Computer Science: Clifford Analysis and Applications

Clifford algebras provide powerful abstractions for reasoning about geometry. In the setting of analysis, they make it possible to reason about properties of manifolds and flows using multivector derivatives. This flexible derivative subsumes many of the useful properties of differential forms, along with further generalizations of, e.g., Stokes' theorem. In this seminar we learn about these mathematical tools and explore how they can be applied to problems in computer science, physics, and engineering.