# Reading course in differential geometry leading to iterated integrals, Spring 2010

We'll cover the first volume of Spivak's differential geometry up to de Rham theory and then hopefully have time to look at Hain's notes from the 2005 Arizona Winter School. The course number is Math 894-2 G200. We meet Mondays 12:30-2:30 in K9509.

## Schedule

- Jan 11
- Karen, Spivak ch 1
- Jan 18
- Nathan
- Jan 25
- Alex
- Feb 1
- Parousia
- Feb 8
- Daryl
- Feb 15
*Olympics, no class*
- Feb 22
*Olympics, no class*
- Mar 1
- Karen, Spivak ch 4
- Mar 8
*I'll be out of town, please meet to discuss chapter 5 as described in this note.*
- Mar 15
*I'll be out of town, please meet to discuss chapter 7 as described in the same note. (Also Arizona Winter School)*
- Mar 22
- Parousia
- Mar 29
- Alex
- Apr 5
*Easter Monday, no class*
- Apr 12
- Nathan

## Hand-in problems

We'll pick a few problems to hand in, the rest are just for thinking about.
- Spivak 2-33, due Monday Feb 8.
- Show that for any manifold M, the bundle T(TM) is orientable (i.e. the
*manifold* TM is orientable). Either of Spivak 3-27 or 3-29 will lead you through a proof. Due Monday March 1.
- Spivak 4-1, due Tuesday March 23.
- Spivak 5-10, due Monday March 29.
- Spivak 7-11, due Monday April 12.