Infinite-dimensional geometry: Geodesics - an informal discussion
Channel: Alexander Schmeding
Date: 2020-11-12

In this informal discussion we present a concept of geodesics as a generalisation of curves realising the shortest distance between two points on a manifold. Furthermore, applications and challenges in the study of geodesics on infinite-dimensional manifolds are pointed out.

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/).