Infinite-dimensional geometry 2 3: Manifolds of mappings (part 1)
Channel: Alexander Schmeding
Date: 19/09/2020

In this lecture we define the notion of a canonical manifold of mappings. The idea is to require a suitable version of the exponential law. Here we deal with consequences of this choice but do not prove that such a structure exists (this will be treated at a later point).

This is part of the course MAT331: Topics in Analysis at the University of Bergen in Fall 2020. 
This course (and the lecture) was supported by Trond Mohn foundation within the Pure Mathematics in Norway program (https://www.puremath.no/).