Fields Academy Shared Graduate Course: Infinite-Dimensional Analysis and Differential Geometry
Description
Instructor: Professor Andrew Lewis, Queen's University
Course Description
This course is an introduction to analysis and geometry in infinite-dimensional vector spaces, not limited to Banach and Hilbert spaces. Topics include:
- introduction to locally convex spaces;
- the Bastiani differential calculus;
- infinite-dimensional manifolds;
- manifolds of mappings;
- introduction to infinite-dimensional Lie groups.
Textbook: Draft notes by Glöckner and Neeb
(More logistical details are coming soon.)