Program
Bundles and Characteristic Classes
Student No.:40
Time:Mon & Wed 15:20-16:55,
Instructor:Thomas Farrell  [Tsinghua University]
Place:Conference Room 3, Floor 2, Jinchun Yuan West Building
Starting Date:2017-9-18
Ending Date:2017-12-13

Description:
This course will develop the classical theory of fibre bundles (in particular vector bundles)
and characteristic classes due to Stiefel, Whitney, Chern and Pontryagin. Then the Smale-Hirsch immersion theory
will be discussed followed by smoothing theory based on Milnor's concept of microbundle.

 

Prerequisite:
A graduate level course in algebraic topology through cup products.

 

Reference:
Fibre Bundles by N. Steenrod and Characteristic Classes by J.Milnor and J.Stasheff.