Completed
Chern-Weil homomorphism
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Singular Chains on Lie Groups and the Cartan Relations
Automatically move to the next video in the Classroom when playback concludes
- 1 Intro
- 2 Outline
- 3 Lie theory
- 4 The group ring and singular chains
- 5 The Cartan relations
- 6 An equivalence of categories
- 7 How the proof works
- 8 Chern-Weil theory
- 9 Chern-Weil homomorphism
- 10 A dg-category of representations of Tg
- 11 A dg-category of modules over C(G)
- 12 Ingredients of the proof
- 13 Chen's iterated integrals
- 14 Bott-Shulman-Stasheff algebra
- 15 Ax de Rham theorem for classifying spaces
- 16 The non-commutative Weil algebra
- 17 The Moore Loop space
- 18 Example 1: The trivial representation
- 19 Example II: Free loop space of BG
