Lecture 2: Diffeomorphism Group in Computational Anatomy and Hydrodynamics

The diffeomorphism group stands at the intersection of two otherwise unrelated fields. It is used in computational anatomy and is at the heart of the registration process. On the other hand many PDEs of hydrodynamic type can be formulated as geodesic equations on diffeomorphism groups. Both areas are related via Euler-Poincar\'e reduction and share the same geometric framework.