MATH 490: Chern-Weil Theory, Spring 2004


Note: dates are subject to change.

Week Class Dates Topic Notes
1 01/12, 01/14, 01/16 Opening remarks; Review of manifold theory  
2 01/19, 01/21, 01/23 Review of manifold theory; differential forms  
3 01/26, 01/28, 01/30 Differential forms  
4 02/02, 02/04, 02/06 Differential forms; DeRham cohomology  
5 02/09, 02/11, 02/13 DeRham cohomology  
6 02/16, 02/18, 02/20 DeRham cohomology  
7 02/23, 02/25, 02/27 DeRham cohomology Spring break 03/01-03/05
8 03/08, 03/10, 03/12 Remarks on Riemannian structures and Hodge theory  
9 03/15, 03/17, 03/19 Vector bundles; further aspects of Riemannian geometry  
10 03/22, 03/24, 03/26 Connections  
11 03/29, 03/31, 04/02 Characteristic classes  
12 04/05, 04/07, 04/09 Characteristic classes No meeting 04/09
13 04/12, 04/14, 04/16 Characteristic classes  
14 04/19, 04/21, 04/23 Characteristic classes