Course syllabus.
Lectures
1 and 2: Overview.
Lecture
3: Immersion theory. Notes by Owen Gwilliam. Last edited on 1/17/11.
Lecture
4: Flexible sheaves. Last edited on 1/26/11.
Lectures
5 & 6: The Hirsch-Smale theorem. Notes by Chris Elliott. Last edited on 1/25/11.
Lecture
7: Fibrations in immersion theory, part 1. Notes by Irina
Bobkova. Not yet edited.
Lecture
8: Fibrations in immersion theory, part 2. Notes by Ian
Le coming soon.
Lecture
9: Immersions into Euclidean spaces, from Smale to Cohen. Notes by Marc
Hoyois. Last edited on 1/31/11.
Lecture
10: Eversing the 2-sphere. Notes
by Agnès Beaudry.
Lecture
11: The h-principle for differential relations. Last edited on 2/7/11.
Lecture
12: Foliations and Haefliger structures. Notes by Owen Gwilliam. Last edited on 2/12/11.
Lecture
13: Classifying foliations. Notes by Takuo Matsuoka. Last edited on 2/14/11.
Lecture
14: Haefliger's theorem classifying foliations on open manifolds. Notes by Marc Hoyois. Last edited on 2/19/11.
Lecture 15: Overview of results on the classifying spaces for
foliations. See Hurder's survey.
Lecture
16: Configuration spaces with annihilation and with labels. Last edited on 2/19/11.
Lecture
17: The sheaf of configuration spaces and the scanning map. Last edited on 2/22/11.
Lecture
18: The proof of McDuff's theorem, first part. Notes by Chris
Elliot. Last edited on 2/24/11.
Lecture
19: The proof of McDuff's theorem, second part. Notes by Owen
Gwilliam. Not yet edited.
Lecture
20: The h-principle for microflexible sheaves. Notes by
Agnès Beaudry. Not yet edited.
Lecture
22: The Goodwillie-Weiss calculus of presheaves on manifolds. Notes by
Takuo Matsuoka. Not yet edited.
Lecture
23: Polynomial approximation in Goodwillie-Weiss calculus. Notes
by Irina Bobkova. Not yet edited.